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The renormalization group and the diffusion equation 重整化群和扩散方程
arXiv: High Energy Physics - Theory Pub Date : 2020-11-30 DOI: 10.1093/ptep/ptaa175
M. Matsumoto, Gota Tanaka, A. Tsuchiya
{"title":"The renormalization group and the diffusion equation","authors":"M. Matsumoto, Gota Tanaka, A. Tsuchiya","doi":"10.1093/ptep/ptaa175","DOIUrl":"https://doi.org/10.1093/ptep/ptaa175","url":null,"abstract":"We study relationship between renormalization group and diffusion equation. We consider the exact renormalization group equation for a scalar field that includes an arbitrary cutoff function and an arbitrary quadratic seed action. As a generalization of the result obtained by Sonoda and Suzuki, we find that the correlation functions of diffused fields with respect to the bare action agree with those of bare fields with respect to the effective action, where the diffused field obeys a generalized diffusion equation determined by the cutoff function and the seed action and agrees with the bare field at the initial time.","PeriodicalId":8443,"journal":{"name":"arXiv: High Energy Physics - Theory","volume":"6 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89979103","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
On Negative Energies, Strings, Branes, and Braneworlds: A Review of Novel Approaches 负能量、弦、膜和膜世界:新方法综述
arXiv: High Energy Physics - Theory Pub Date : 2020-11-30 DOI: 10.1142/S0217751X20300203
M. Pavšič
{"title":"On Negative Energies, Strings, Branes, and Braneworlds: A Review of Novel Approaches","authors":"M. Pavšič","doi":"10.1142/S0217751X20300203","DOIUrl":"https://doi.org/10.1142/S0217751X20300203","url":null,"abstract":"On the way towards quantum gravity and the unification of interaction, several ideas have been rejected and avenues avoided because they were perceived as physically unviable. But in the literature there are works in which it was found the contrary, namely that those rejected topics make sense after all. Such topics, reviewed in this article, are negative energies occurring in higher derivative theories and ultrahyperbolic spaces, ordering ambiguity of operators in curved spaces, the vast landscape of possible compactifications of extra dimensions in string theory, and quantization of a 3-brane in braneworld scenarios.","PeriodicalId":8443,"journal":{"name":"arXiv: High Energy Physics - Theory","volume":"14 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78910748","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
BPS deformations of the Skyrme model Skyrme模型的BPS变形
arXiv: High Energy Physics - Theory Pub Date : 2020-11-29 DOI: 10.1103/PhysRevD.103.085018
J. Queiruga
{"title":"BPS deformations of the Skyrme model","authors":"J. Queiruga","doi":"10.1103/PhysRevD.103.085018","DOIUrl":"https://doi.org/10.1103/PhysRevD.103.085018","url":null,"abstract":"We study several deformations of the Skyrme model in three dimensions with self-dual sectors of arbitrary baryonic charge. We show that, for a family of background metrics as well as for a family of field dependent couplings, the model has one BPS sector, which may have any topological charge. We also study the gravitating case, where there are infinite BPS sectors, provided that a cosmological constant is added to the model.","PeriodicalId":8443,"journal":{"name":"arXiv: High Energy Physics - Theory","volume":"148 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77938694","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Coherent state superpositions, entanglement, and gauge/gravity correspondence 相干态叠加、纠缠和规范/重力对应
arXiv: High Energy Physics - Theory Pub Date : 2020-11-27 DOI: 10.1063/5.0039859
Hai Lin, Yuwei Zhu
{"title":"Coherent state superpositions, entanglement, and gauge/gravity correspondence","authors":"Hai Lin, Yuwei Zhu","doi":"10.1063/5.0039859","DOIUrl":"https://doi.org/10.1063/5.0039859","url":null,"abstract":"We focus on two types of coherent states, the coherent states of multi graviton states and the coherent states of giant graviton states, in the context of gauge/gravity correspondence. We conveniently use a phase shift operator and its actions on the superpositions of these coherent states. We find $N$-state Schrodinger cat states which approach the one-row Young tableau states, with fidelity between them asymptotically reaches 1 at large $N$. The quantum Fisher information of these states is proportional to the variance of the excitation energy of the underlying states, and characterizes the localizability of the states in the angular direction in the phase space. We analyze the correlation and entanglement between gravitational degrees of freedom using different regions of the phase space plane in bubbling AdS. The correlation between two entangled rings in the phase space plane is related to the area of the annulus between the two rings. We also analyze two types of noisy coherent states, which can be viewed as interpolated states that interpolate between a pure coherent state in the noiseless limit and a maximally mixed state in the large noise limit.","PeriodicalId":8443,"journal":{"name":"arXiv: High Energy Physics - Theory","volume":"47 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73192691","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Static force potential of a non-Abelian gauge theory in a finite box in Coulomb gauge 库仑规有限框内非阿贝尔规理论的静力势
arXiv: High Energy Physics - Theory Pub Date : 2020-11-26 DOI: 10.1103/PHYSREVD.103.056003
Tomohiro Furukawa, K. Ishibashi, H. Itoyama, Satoshi Kambayashi
{"title":"Static force potential of a non-Abelian gauge theory in a finite box in Coulomb gauge","authors":"Tomohiro Furukawa, K. Ishibashi, H. Itoyama, Satoshi Kambayashi","doi":"10.1103/PHYSREVD.103.056003","DOIUrl":"https://doi.org/10.1103/PHYSREVD.103.056003","url":null,"abstract":"Force potential exerting between two classical static sources of pure non-abelian gauge theory in the Coulomb gauge is reconsidered at a periodic/twisted box of size $L^3$. Its perturbative behavior is examined by the short-distance expansion as well as by the derivative expansion. The latter expansion to one-loop order confirms the well-known change in the effective coupling constant at the Coulomb part as well as the Uehling potential while the former is given by the convolution of two Coulomb Green functions being non-singular at $bm{x}=bm{y}$. The effect of the twist comes in through its Green function of the sector.","PeriodicalId":8443,"journal":{"name":"arXiv: High Energy Physics - Theory","volume":"32 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78950860","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Type 0¯ heterotic string orbifolds 0型¯异质弦轨道
arXiv: High Energy Physics - Theory Pub Date : 2020-11-25 DOI: 10.1016/J.PHYSLETB.2021.136080
A. Faraggi, Viktor G. Matyas, Benjamin Percival
{"title":"Type 0¯ heterotic string orbifolds","authors":"A. Faraggi, Viktor G. Matyas, Benjamin Percival","doi":"10.1016/J.PHYSLETB.2021.136080","DOIUrl":"https://doi.org/10.1016/J.PHYSLETB.2021.136080","url":null,"abstract":"","PeriodicalId":8443,"journal":{"name":"arXiv: High Energy Physics - Theory","volume":"20 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82986358","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 12
Power spectrum of density perturbations in chain inflation 链式膨胀中密度扰动的功率谱
arXiv: High Energy Physics - Theory Pub Date : 2020-11-25 DOI: 10.1103/PHYSREVD.103.043511
M. Winkler, K. Freese
{"title":"Power spectrum of density perturbations in chain inflation","authors":"M. Winkler, K. Freese","doi":"10.1103/PHYSREVD.103.043511","DOIUrl":"https://doi.org/10.1103/PHYSREVD.103.043511","url":null,"abstract":"Chain Inflation is an alternative to slow roll inflation in which the universe undergoes a series of transitions between different vacua. The density perturbations (studied in this paper) are seeded by the probabilistic nature of tunneling rather than quantum fluctuations of the inflaton. We find the scalar power spectrum of chain inflation and show that it is fully consistent with a $Lambda$CDM cosmology. In agreement with some of the previous literature (and disagreement with others), we show that $10^4$ phase transitions per e-fold are required in order to agree with the amplitude of Cosmic Microwave Background anisotropies within the observed range of scales. Interestingly, the amplitude of perturbations constrains chain inflation to a regime of highly unstable de Sitter spaces, which may be favorable from a quantum gravity perspective since the Swampland Conjecture on Trans-Planckian Censorship is automatically satisfied. We provide new analytic estimates for the bounce action and the tunneling rate in periodic potentials which replace the thin-wall approximation in the regime of fast tunneling. Finally, we study model implications and derive an upper limit of $sim 10^{10}$ GeV on the axion decay constant in viable chain inflation with axions.","PeriodicalId":8443,"journal":{"name":"arXiv: High Energy Physics - Theory","volume":"76 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80788531","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Hydrodynamic Diffusion and Its Breakdown near AdS2 Quantum Critical Points AdS2量子临界点附近的流体动力学扩散及其击穿
arXiv: High Energy Physics - Theory Pub Date : 2020-11-24 DOI: 10.1103/PhysRevX.11.031024
D. Areán, R. Davison, B. Goutéraux, Kenta Suzuki
{"title":"Hydrodynamic Diffusion and Its Breakdown near \u0000AdS2\u0000 Quantum Critical Points","authors":"D. Areán, R. Davison, B. Goutéraux, Kenta Suzuki","doi":"10.1103/PhysRevX.11.031024","DOIUrl":"https://doi.org/10.1103/PhysRevX.11.031024","url":null,"abstract":"Hydrodynamics provides a universal description of interacting quantum field theories at sufficiently long times and wavelengths, but breaks down at scales dependent on microscopic details of the theory. We use gauge-gravity duality to investigate the breakdown of diffusive hydrodynamics in two low temperature states dual to black holes with AdS$_2$ horizons. We find that the breakdown is characterized by a collision between the diffusive pole of the retarded Green's function with a pole associated to the AdS$_2$ region of the geometry, such that the local equilibration time is set by infra-red properties of the theory. The absolute values of the frequency and wavevector at the collision ($omega_{eq}$ and $k_{eq}$) provide a natural characterization of all the low temperature diffusivities $D$ of the states via $D=omega_{eq}/k_{eq}^2$ where $omega_{eq}=2piDelta T$ is set by the temperature $T$ and the scaling dimension $Delta$ of an infra-red operator. We confirm that these relations are also satisfied in an SYK chain model in the limit of strong interactions.","PeriodicalId":8443,"journal":{"name":"arXiv: High Energy Physics - Theory","volume":"8 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82152307","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 19
Fate of the conformal order 共形秩序的命运
arXiv: High Energy Physics - Theory Pub Date : 2020-11-23 DOI: 10.1103/PHYSREVD.103.026008
A. Buchel
{"title":"Fate of the conformal order","authors":"A. Buchel","doi":"10.1103/PHYSREVD.103.026008","DOIUrl":"https://doi.org/10.1103/PHYSREVD.103.026008","url":null,"abstract":"We use holographic correspondence to study transport of the conformal plasma in ${mathbb R}^{2,1}$ in a phase with a spontaneously broken global $Z_2$ symmetry. The dual black branes in a Poincare patch of asymptotically $AdS_4$ have \"hair\" -- a condensate of the order parameter for the broken symmetry. This hair affects both the hydrodynamic and the nonhydrodynamic quasinormal modes of the black branes. Nonetheless, the shear viscosity of the conformal order is universal, the bulk viscosity vanishes and the speed of the sound waves is $c_s^2=frac 12$. We compute the low-lying spectrum of the non-hydrodynamic modes. We identify a quasinormal mode associated with the fluctuations of the $Z_2$ order parameter with the positive imaginary part. The presence of this mode in the spectrum renders the holographic conformal order perturbatively unstable. Correspondingly, the dual black branes violate the correlated stability conjecture.","PeriodicalId":8443,"journal":{"name":"arXiv: High Energy Physics - Theory","volume":"117 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91497461","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 10
Stable bound orbits in black lens backgrounds 在黑色透镜背景下稳定的束缚轨道
arXiv: High Energy Physics - Theory Pub Date : 2020-11-22 DOI: 10.1103/physrevd.102.124079
Shinya Tomizawa, Takahisa Igata
{"title":"Stable bound orbits in black lens backgrounds","authors":"Shinya Tomizawa, Takahisa Igata","doi":"10.1103/physrevd.102.124079","DOIUrl":"https://doi.org/10.1103/physrevd.102.124079","url":null,"abstract":"In contrast to five-dimensional Schwarzschild-Tangherlini and Myers-Perry backgrounds, we show that there are stable bound orbits of massive/massless particles in five-dimensional black lens backgrounds, in particular, the supersymmetric black lens with $L(2,1)$ and $L(3,1)$ topologies. We also show that in the zero-energy limit of massless particles, there exist stable circular orbits on the evanescent ergosurfaces.","PeriodicalId":8443,"journal":{"name":"arXiv: High Energy Physics - Theory","volume":"1983 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82208993","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
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