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Should Unstable Quantum Field Theories be Lorentz-invariant? 不稳定量子场论应该是洛伦兹不变量吗？
IF 0.5 4区 物理与天体物理
Acta Physica Polonica B Pub Date : 2022-12-19 DOI: 10.5506/APhysPolB.53.11-A4
L. Gavassino
{"title":"Should Unstable Quantum Field Theories be Lorentz-invariant?","authors":"L. Gavassino","doi":"10.5506/APhysPolB.53.11-A4","DOIUrl":"https://doi.org/10.5506/APhysPolB.53.11-A4","url":null,"abstract":"An unstable field theory is what we obtain when we linearise the equations of an interacting field theory near an unstable state. Theories of this kind are adopted to model the onset of spontaneous symmetry breakings, when the fields are sitting on the top of the Mexican hat, and they start to “roll down” to the bottom. At present, there exists no rigorous proof that unstable quantum field theories are Lorentz-invariant (in the sense of Wigner’s theorem). Here, we show that they shouldn’t be. In fact, unstable theories always have a limited regime of applicability, and they are valid only for a very short time. As consequence, there is a preferred simultaneity hyperplane, along which the unstable theory is everywhere applicable, while a generic observer (whose four-velocity is not orthogonal to such hyperplane) must use the full non-linear theory. In summary: the current quantization schemes are “ok”, independently from whether they lead to a Lorentz-invariant theory.","PeriodicalId":7060,"journal":{"name":"Acta Physica Polonica B","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41248583","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Comparative Study of the 1–2 Exchange Symmetries in Neutrino Frameworks with Global and Local Validities 具有整体有效性和局部有效性的中微子框架中1-2交换对称性的比较研究
IF 0.5 4区 物理与天体物理
Acta Physica Polonica B Pub Date : 2022-12-13 DOI: 10.5506/APhysPolB.54.4-A3
H. Minakata
{"title":"Comparative Study of the 1–2 Exchange Symmetries in Neutrino Frameworks with Global and Local Validities","authors":"H. Minakata","doi":"10.5506/APhysPolB.54.4-A3","DOIUrl":"https://doi.org/10.5506/APhysPolB.54.4-A3","url":null,"abstract":"A new picture ``one-resonance - one-symmetry'' has been proposed recently to reveal nature of the reparametrization symmetry in neutrino oscillation in matter and where it resides: Symmetry of $i leftrightarrow j$ state-exchange type exists at around a resonance with $i$ and $j$ being the states which participate in the level crossing. Consistently, the 1-2 and 1-3 state exchange symmetries are identified at around the solar and atmospheric resonances, respectively, in the locally-valid frameworks. On the other hand, the Denton {it et al.} (DMP) perturbation theory, a globally-valid framework, has the 1-2 exchange symmetry which is akin to the one in the aforementioned solar-resonance perturbation (SRP) theory. In our picture, the symmetry must be associated with the resonance, not the framework, and if so these two 1-2 symmetries must be identical to each other. We conduct a comparative study of the 1-2 symmetries possessed by SRP and DMP to confirm their identity. An almost identity is verified, but in a highly nontrivial way.","PeriodicalId":7060,"journal":{"name":"Acta Physica Polonica B","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46139530","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Massive Dark Photons as Hot Dark Matter 大质量暗光子是热暗物质
IF 0.5 4区 物理与天体物理
Acta Physica Polonica B Pub Date : 2022-11-21 DOI: 10.5506/aphyspolb.53.11-a2
S. Ennadifi
{"title":"Massive Dark Photons as Hot Dark Matter","authors":"S. Ennadifi","doi":"10.5506/aphyspolb.53.11-a2","DOIUrl":"https://doi.org/10.5506/aphyspolb.53.11-a2","url":null,"abstract":"Motivated by the growing interest in the existence of new massive gauge bosons, we suggest that massive dark photons A ′ can be a consequence of a broken new abelian symmetry U ( 1 ) ′ X . Such a dark symmetry U ( 1 ) ′ D is afterwards supposed to be associated with the conservation of the weak number W belonging to the Weakling Interacting Slim Particles U ( 1 ) W , being a strong candidate for Hot Dark Matter. The latters correspond then to light dark photons m ′ A . keV from a weak symmetry breaking scale & 10 keV .","PeriodicalId":7060,"journal":{"name":"Acta Physica Polonica B","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44902968","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Towards the Assignments for (1^{1}D_{2}) and (1^{3}D_{2}) Meson Nonets 走向（1）的作业^{1}D_{2} ）和（1^{3}D_{2} ）介子诺内特
IF 0.5 4区 物理与天体物理
Acta Physica Polonica B Pub Date : 2022-11-08 DOI: 10.5506/aphyspolb.53.10-a4
Xue-Chao Feng, K. Wei, Jie Wu, Xue Zhen Zhai, ShiZhuo Wang
{"title":"Towards the Assignments for (1^{1}D_{2}) and (1^{3}D_{2}) Meson Nonets","authors":"Xue-Chao Feng, K. Wei, Jie Wu, Xue Zhen Zhai, ShiZhuo Wang","doi":"10.5506/aphyspolb.53.10-a4","DOIUrl":"https://doi.org/10.5506/aphyspolb.53.10-a4","url":null,"abstract":"In this work, we investigate the mass spectrum of $1^{1}D_{2}$ and $1^{3}D_{2}$ meson nonets in the framework of the meson mass matrix and Regge phenomenology. The results are compared with the values from different phenomenological models and may be useful for the assignment of the $1^{1}D_{2}$ and $1^{3}D_{2}$ meson nonets in the future.","PeriodicalId":7060,"journal":{"name":"Acta Physica Polonica B","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49523312","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Calculation of Branching Fraction and CP Violation in (B^-rightarrow D_s^-D^0) Decay （B^-rightarrow D_s^-D^0）衰变中分支分数和CP破坏的计算
IF 0.5 4区 物理与天体物理
Acta Physica Polonica B Pub Date : 2022-10-14 DOI: 10.5506/aphyspolb.53.10-a2
B. Mohammadi, Elnaz Amirkhanlou
{"title":"Calculation of Branching Fraction and CP Violation in (B^-rightarrow D_s^-D^0) Decay","authors":"B. Mohammadi, Elnaz Amirkhanlou","doi":"10.5506/aphyspolb.53.10-a2","DOIUrl":"https://doi.org/10.5506/aphyspolb.53.10-a2","url":null,"abstract":"The most precise measurement of the $CP$ asymmetry in the decay $B^-rightarrow D_s^-D^0$ has been reported by LHCb collaboration with the value of $(-0.4pm0.5pm0.5)%$. In this study, the $CP$ violation in the decay $B^-rightarrow D_s^-D^0$ has been calculated under the factorization approach. This decay mode includes current-current tree and penguin diagrams and their amplitudes are considered separately. In each of the tree and penguin amplitudes, the strong and weak phases have been introduced. The $CP$ asymmetry has been calculated in this work to be $(-0.35pm0.03)%$. Finally, from the sum of the amplitudes, we have calculated the total amplitude and obtained comparable results with experimental value for the branching ratio of $B^-rightarrow D_s^-D^0$ decay.","PeriodicalId":7060,"journal":{"name":"Acta Physica Polonica B","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42876179","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Remarks on Mathematical Structure of the Staruszkiewicz Theory 论Staruszkiewicz理论的数学结构
IF 0.5 4区 物理与天体物理
Acta Physica Polonica B Pub Date : 2022-08-29 DOI: 10.5506/APhysPolB.53.9-A1
A. Herdegen
{"title":"Remarks on Mathematical Structure of the Staruszkiewicz Theory","authors":"A. Herdegen","doi":"10.5506/APhysPolB.53.9-A1","DOIUrl":"https://doi.org/10.5506/APhysPolB.53.9-A1","url":null,"abstract":"The purpose of this note is threefold: (i) to recall (with some points made more explicit) the mathematical Weyl algebra model formulation, given before, of the Staruszkiewicz theory of quantum Coulomb field; (ii) to add some new elements to the discussion of the representation of the Lorentz group within this model; (iii) to comment on some statements on the structure of the theory which appeared recently.","PeriodicalId":7060,"journal":{"name":"Acta Physica Polonica B","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44112889","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Spacetimes with No Position Drift 没有位置漂移的时空
IF 0.5 4区 物理与天体物理
Acta Physica Polonica B Pub Date : 2022-08-22 DOI: 10.5506/aphyspolb.54.2-a1
Andrzej Krasi'nski
{"title":"Spacetimes with No Position Drift","authors":"Andrzej Krasi'nski","doi":"10.5506/aphyspolb.54.2-a1","DOIUrl":"https://doi.org/10.5506/aphyspolb.54.2-a1","url":null,"abstract":"This paper compares three criteria for a spacetime to be free of position drift: those by Hasse and Perlick (HP), Krasi'nski and Bolejko (KB) and Korzy'nski and Kopi'nski (KK). A spacetime having no position drift means that every observer sees all light sources in unchanging directions. The following is shown: (1) The HP criterion is a necessary condition for the KK criterion to apply. (2) If the spacetime metric obeys the Einstein equations with a perfect fluid source, then another necessary condition for the KK criterion is the Weyl tensor being zero. (3) Result (2) points to the Stephani metric, so it is shown that this metric obeys an equation which is still one more necessary condition for the KK criterion. (4) The general Szekeres metrics become drift-free by the KK criterion only in the Friedmann limit. (5) The HP and KB criteria coincide, and the HP zero-drift condition imposes on the Stephani metric the same restriction as found by Krasi'nski and Bolejko (KB). The relations between the three criteria are displayed and compared in a diagram.","PeriodicalId":7060,"journal":{"name":"Acta Physica Polonica B","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42403164","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Symmetry in Neutrino Oscillation in Matter with Non-unitarity 非统一物质中中微子振荡的对称性
IF 0.5 4区 物理与天体物理
Acta Physica Polonica B Pub Date : 2022-06-13 DOI: 10.5506/APhysPolB.54.6-A1
H. Minakata
{"title":"Symmetry in Neutrino Oscillation in Matter with Non-unitarity","authors":"H. Minakata","doi":"10.5506/APhysPolB.54.6-A1","DOIUrl":"https://doi.org/10.5506/APhysPolB.54.6-A1","url":null,"abstract":"Recently we have developed a method called ``Symmetry Finder'' (SF) for hunting the reparametrization symmetry in the three-neutrino system in matter. Here, we apply SF to the Denton {it et al.} (DMP) perturbation theory extended by including unitarity violation (UV), a possible low-energy manifestation of physics beyond the $nu$SM. Implementation of UV into the SF framework yields the additional two very different constraints, which nonetheless allow remarkably consistent solutions, the eight DMP-UV symmetries. Treatment of one of the constraints, the genuine non-unitary part, leads to the key identity which entails the UV $alpha$ parameter transformation only by rephasing, which innovates the invariance proof of the Hamiltonian. The quantum mechanical nature of the symmetry dictates the both $nu$SM and UV variables to transform jointly, through which the response of the two sectors are related to reveal their interplay. Thus, the symmetry can serve for a tool for diagnostics, probing the interrelation between the $nu$SM and a low-energy description of new physics. Problem of SF symmetry in vacuum is revisited to complete eight symmetries akin to DMP's.","PeriodicalId":7060,"journal":{"name":"Acta Physica Polonica B","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46792783","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Equilibration and Locality 均衡与局部性
IF 0.5 4区 物理与天体物理
Acta Physica Polonica B Pub Date : 2022-06-02 DOI: 10.5506/APhysPolB.53.8-A2
M. Gazdzicki, M. Gorenstein, I. Pidhurskyi, O. Savchuk, L. Tinti
{"title":"Equilibration and Locality","authors":"M. Gazdzicki, M. Gorenstein, I. Pidhurskyi, O. Savchuk, L. Tinti","doi":"10.5506/APhysPolB.53.8-A2","DOIUrl":"https://doi.org/10.5506/APhysPolB.53.8-A2","url":null,"abstract":"Experiments motivated by predictions of quantum mechanics indicate non-trivial correlations between spacelike-separated measurements. The phenomenon is referred to as a violation of strong-locality and, after Einstein, called ghostly action at a distance. An intriguing and previously unasked question is how the evolution of an assembly of particles to equilibrium-state relates to strong-locality. More specifically, whether, with this respect, indistinguishable particles differ from distinguishable ones. To address the question, we introduce a Markov-chain based framework over a finite set of microstates. For the first time, we formulate conditions needed to obey the particle transport- and strong-locality for indistinguishable particles. Models which obey transport-locality and lead to equilibrium-state are considered. We show that it is possible to construct models obeying and violating strong-locality both for indistinguishable particles and for distinguishable ones. However, we find that only for distinguishable particles strongly-local evolution to equilibrium is possible without breaking the microstate-symmetry. This is the strongest symmetry one can impose and leads to the shortest equilibration time. We hope that the results presented here may provide a new perspective on a violation of strong-locality, and the developed framework will help in future studies. Specifically they may help to interpret results on high-energy nuclear collisions indicating a fast equilibration of indistinguishable particles.","PeriodicalId":7060,"journal":{"name":"Acta Physica Polonica B","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46711200","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Non-exponential Decay in Classical Stochastic Processes with Memory 具有记忆的经典随机过程的非指数衰变
IF 0.5 4区 物理与天体物理
Acta Physica Polonica B Pub Date : 2022-05-27 DOI: 10.5506/APhysPolB.54.2-A2
Maciej Rybczy'nski, Z. Włodarczyk
{"title":"Non-exponential Decay in Classical Stochastic Processes with Memory","authors":"Maciej Rybczy'nski, Z. Włodarczyk","doi":"10.5506/APhysPolB.54.2-A2","DOIUrl":"https://doi.org/10.5506/APhysPolB.54.2-A2","url":null,"abstract":"The initial time-dependence of a state in circumstances where it makes transitions to, or decay to, a second state has been investigated. In classical stochastic processes, the observed time dependence of transition or decay proportional to $t^2$ is attributed to the noise with memory. In contrast to quantum mechanics, the quadratic form of initial decay is unable to decelerate the evolution of the system.","PeriodicalId":7060,"journal":{"name":"Acta Physica Polonica B","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43176041","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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