arXiv: High Energy Physics - Theory最新文献

arXiv: High Energy Physics - Theory Pub Date : 2021-07-20 DOI: 10.7488/ERA/1527

Ross Grassie

{"title":"Beyond Lorentzian symmetry","authors":"Ross Grassie","doi":"10.7488/ERA/1527","DOIUrl":"https://doi.org/10.7488/ERA/1527","url":null,"abstract":"This thesis presents a framework in which to explore kinematical symmetries beyond the standard Lorentzian case. This framework consists of an algebraic classification, a geometric classification, and a derivation of the geometric properties required to define physical theories on the classified spacetime geometries. The work completed in substantiating this framework for kinematical, super-kinematical, and super-Bargmann symmetries constitutes the body of this thesis. \u0000To this end, the classification of kinematical Lie algebras in spatial dimension $D = 3$, as presented in [3, 4], is reviewed; as is the classification of spatially-isotropic homogeneous spacetimes of [5]. The derivation of geometric properties such as the non-compactness of boosts, soldering forms and vielbeins, and the space of invariant affine connections is then presented. \u0000We move on to classify the $mathcal{N}=1$ kinematical Lie superalgebras in three spatial dimensions, finding 43 isomorphism classes of Lie superalgebras. Once these algebras are determined, we classify the corresponding simply-connected homogeneous (4|4)-dimensional superspaces and show how the resulting 27 homogeneous superspaces may be related to one another via geometric limits. \u0000Finally, we turn our attention to generalised Bargmann superalgebras. In the present work, these will be the $mathcal{N}=1$ and $mathcal{N}=2$ super-extensions of the Bargmann and Newton-Hooke algebras, as well as the centrally-extended static kinematical Lie algebra, of which the former three all arise as deformations. Focussing solely on three spatial dimensions, we find $9$ isomorphism classes in the $mathcal{N}=1$ case, and we identify $22$ branches of superalgebras in the $mathcal{N}=2$ case.","PeriodicalId":8443,"journal":{"name":"arXiv: High Energy Physics - Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75427183","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: 3

Path Integral based Non-equilibrium Quantum Field Theory of Non-relativistic Pairs inside an Environment 基于路径积分的环境中非相对论对的非平衡量子场论

arXiv: High Energy Physics - Theory Pub Date : 2021-07-09 DOI: 10.21203/RS.3.RS-646944/V1

Tobias Binder

{"title":"Path Integral based Non-equilibrium Quantum Field Theory of Non-relativistic Pairs inside an Environment","authors":"Tobias Binder","doi":"10.21203/RS.3.RS-646944/V1","DOIUrl":"https://doi.org/10.21203/RS.3.RS-646944/V1","url":null,"abstract":"\u0000 We derive differential equations from path integral based non-equilibrium quantum field theory, that cover the dynamics and spectrum of non-relativistic two-body fields for any environment. For concreteness of the two-body fields, we choose the full potential non-relativistic Quantum Electrodynamics Lagrangian in this work. After closing the correlation function hierarchy of these differential equations and performing consistency checks with previous literature under certain limits, we demonstrate the range of physics applications. This includes Cosmology such as Dark Matter in the primordial plasma, Quarkonia Physics inside a quark-gluon plasma, and Condensed and strongly Correlated Matter Physics such as Bose-Einstein condensation or Superconductivity. Since we always had to take limits or approximations of our equations in order to recover those known cases, our equations could contain new phenomena. In particular they are based on non-equilibrium Green's function that can deal with non-hermite potentials as well as dynamical formation of different extreme phases. We propose a scheme for other Lagrangian based theories or higher N-body states such as molecules to derive analogous equations.","PeriodicalId":8443,"journal":{"name":"arXiv: High Energy Physics - Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88023628","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

On-shell physics of black holes 黑洞的壳层物理学

arXiv: High Energy Physics - Theory Pub Date : 2021-05-21 DOI: 10.7488/ERA/1261

Ben Maybee

引用次数: 0

Capacity of entanglement in random pure state. 随机纯态的纠缠能力。

arXiv: High Energy Physics - Theory Pub Date : 2021-03-16 DOI: 10.1016/j.physletb.2021.136600

Kazumi Okuyama

引用次数: 12

Thermodynamics of Ideal Gas at Planck Scale with Strong Quantum Gravity Measurement 普朗克尺度下理想气体的热力学与强量子引力测量

arXiv: High Energy Physics - Theory Pub Date : 2021-02-26 DOI: 10.21203/RS.3.RS-493283/V1

Latévi M. Lawson

{"title":"Thermodynamics of Ideal Gas at Planck Scale with Strong Quantum Gravity Measurement","authors":"Latévi M. Lawson","doi":"10.21203/RS.3.RS-493283/V1","DOIUrl":"https://doi.org/10.21203/RS.3.RS-493283/V1","url":null,"abstract":"More recently in [J. Phys. A: Math. Theor. 53, 115303 (2020)], we have introduced a set of noncommutative algebra that describes the space-time at the Planck scale. The interesting significant result we found is that the generalized uncertainty principle induced a maximal length of quantum gravity which has different physical implications to the one of generalized uncertainty principle with minimal length. The emergence of a maximal length in this theory revealed strong quantum gravitational effects at this scale and predicted the detection of gravity particles with low energies. To make evidence of these predictions, we study the dynamics of a free particle confined in an infinite square well potential in one dimension of this space. Since the effects of quantum gravity are strong in this space, we show that the energy spectrum of this system is weakly proportional to the ordinary one of quantum mechanics free of the theory of gravity. The states of this particle exhibit proprieties similar to the standard coherent states which are consequences of quantum fluctuation at this scale. Then, with the spectrum of this system at hand, we analyze the thermodynamic quantities within the canonical and microcanonical ensembles of an ideal gas made up of $N$ indistinguishable particles at the Planck scale. The results show a complete consistency between both statistical descriptions. Furthermore, a comparison with the results obtained in the context of minimal length scenarios and black hole theories indicates that the maximal length in this theory induces logarithmic corrections of deformed parameters which are consequences of a strong quantum gravitational effect.","PeriodicalId":8443,"journal":{"name":"arXiv: High Energy Physics - Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76227493","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

Anomalous gravitomagnetic moment and nonuniversality of the axial vortical effect at finite temperature 有限温度下异常重力磁矩和轴向涡效应的非普适性

arXiv: High Energy Physics - Theory Pub Date : 2021-02-02 DOI: 10.1103/PhysRevD.103.116005

Matteo Buzzegoli, D. Kharzeev

引用次数: 5

New bi-harmonic superspace formulation of 4D, $$ mathcal{N} $$ = 4 SYM theory 4D双调和超空间新表述，$$ mathcal{N} $$ = 4 SYM理论

arXiv: High Energy Physics - Theory Pub Date : 2020-12-17 DOI: 10.1007/JHEP04(2021)010

I. Buchbinder, E. Ivanov, V. Ivanovskiy

引用次数: 1

Symmetries of $$ mathcal{N} $$ = (1, 0) supergravity backgrounds in six dimensions $$ mathcal{N} $$ =(1,0)六维超重力背景的对称性

arXiv: High Energy Physics - Theory Pub Date : 2020-12-15 DOI: 10.1007/JHEP03(2021)157

S. Kuzenko, U. Lindström, E. S. Raptakis, G. Tartaglino-Mazzucchelli

引用次数: 2

Asymptotically free and safe fate of symmetry nonrestoration 对称不恢复的渐近自由安全命运

arXiv: High Energy Physics - Theory Pub Date : 2020-12-15 DOI: 10.1103/PhysRevD.103.096014

B. Bajc, A. Lugo, Francesco Sannino

引用次数: 5

Symmetry structure of the interactions in near-BPS corners of $$ mathcal{N} $$ = 4 super-Yang-Mills $$ mathcal{N} $$ = 4超杨-米尔斯近bps角相互作用的对称结构

arXiv: High Energy Physics - Theory Pub Date : 2020-12-15 DOI: 10.1007/JHEP04(2021)029

Stefano Baiguera, T. Harmark, Y. Lei, N. Wintergerst

引用次数: 1