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Interacting quantum fields in various charts of anti–de Sitter spacetime 在各种反德西特时空图中相互作用的量子场
arXiv: High Energy Physics - Theory Pub Date : 2020-11-10 DOI: 10.1103/PHYSREVD.103.045009
E. Akhmedov, A. Artemev, I. Kochergin
{"title":"Interacting quantum fields in various charts of anti–de Sitter spacetime","authors":"E. Akhmedov, A. Artemev, I. Kochergin","doi":"10.1103/PHYSREVD.103.045009","DOIUrl":"https://doi.org/10.1103/PHYSREVD.103.045009","url":null,"abstract":"The goal of the present note is to understand whether it is possible to define interacting quantum field theory in global anti de Sitter space-time with Lorentzian signature, in its covering space-time (whose time coordinate is not periodic) and in its Poincare patch. We show that in global anti de Sitter space-time there are certain problems to define quantum field theory properly. This is due to an additional UV singularity of the Feynman propagator which is sitting on the light-cone emanating from the antipodal point of the source. There is no such singularity in flat space-time. At the same time quantum field theory in Poincare region of the AdS space-time can be well defined and is related to the one in Euclidean AdS via the analytical continuation. In principle one can also define and analytically continue quantum field theory in the covering anti de Sitter space-time. However, to do that one has to use an unusual $iepsilon$-prescription in the Feynman propagator, which cannot be used in loop calculations in non-stationary situations.","PeriodicalId":8443,"journal":{"name":"arXiv: High Energy Physics - Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83793234","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: 6
Strong cosmic censorship in two dimensions 强大的二维宇宙审查
arXiv: High Energy Physics - Theory Pub Date : 2020-11-06 DOI: 10.1103/PhysRevD.103.L081502
Upamanyu Moitra
{"title":"Strong cosmic censorship in two dimensions","authors":"Upamanyu Moitra","doi":"10.1103/PhysRevD.103.L081502","DOIUrl":"https://doi.org/10.1103/PhysRevD.103.L081502","url":null,"abstract":"We study the behaviour of a free massive scalar wave-packet near the Cauchy horizon of an $mathrm{AdS}_2$ black hole and find that it becomes infinitely differentiable for smooth initial data, independently of the parameters describing the spacetime or the scalar. This indicates a violation of the strong cosmic censorship conjecture at the classical level. We discuss our result in connection with some recent observations of violation of the conjecture for certain nearly extremal black holes.","PeriodicalId":8443,"journal":{"name":"arXiv: High Energy Physics - Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72905380","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
Asymptotic symmetries in spatially flat FRW spacetimes 空间平坦FRW时空中的渐近对称性
arXiv: High Energy Physics - Theory Pub Date : 2020-11-03 DOI: 10.1103/PhysRevD.103.064009
Martín Enríquez Rojo, Till Heckelbacher
{"title":"Asymptotic symmetries in spatially flat FRW spacetimes","authors":"Martín Enríquez Rojo, Till Heckelbacher","doi":"10.1103/PhysRevD.103.064009","DOIUrl":"https://doi.org/10.1103/PhysRevD.103.064009","url":null,"abstract":"We perform an off-shell treatment of asymptotically decelerating spatially flat FRW spacetimes at future null infinity. We obtain supertranslation and superrotation-like asymptotic diffeomorphisms which are consistent with the global symmetries of FRW and we compute how the asymptotic data is transformed under them. Further, we study in detail the effect of these diffeomorphisms on some simple backgrounds including unperturbed FRW and Sultana-Dyer black hole. In particular, we investigate how these transformations act on several cosmologically perturbed backgrounds.","PeriodicalId":8443,"journal":{"name":"arXiv: High Energy Physics - Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76845275","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: 7
Heat shield for de Sitter space 德西特空间的隔热板
arXiv: High Energy Physics - Theory Pub Date : 2020-11-02 DOI: 10.1103/PhysRevD.103.125010
P. Davies, L. Thomas, G. Zahariade
{"title":"Heat shield for de Sitter space","authors":"P. Davies, L. Thomas, G. Zahariade","doi":"10.1103/PhysRevD.103.125010","DOIUrl":"https://doi.org/10.1103/PhysRevD.103.125010","url":null,"abstract":"We investigate a quantum vacuum state for $1 + 1$ dimensional de Sitter space, corresponding to a region within a perfectly reflecting symmetric box of fixed physical size. We find that a particle detector inside the box registers zero response, implying that the walls of the box screen out the thermal effects of the de Sitter horizon. The box thus creates a `quiescent oasis' with a temperature below the de Sitter horizon temperature, an unexpected feature that opens the way to an analysis of heat and entropy exchange between the box and the horizon in the context of the generalized second law of thermodynamics. We also calculate the stress-energy-momentum tensor of the region within the box, showing that the total energy in the box is less than the same volume of de Sitter space in the presence of thermal fluctuations.","PeriodicalId":8443,"journal":{"name":"arXiv: High Energy Physics - Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73001603","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
Canonical equivalence in anisotropic models for higher order theory of gravity 高阶重力理论各向异性模型中的典型等价
arXiv: High Energy Physics - Theory Pub Date : 2020-10-30 DOI: 10.1142/s0219887821500584
S. Debnath, A. Sanyal
{"title":"Canonical equivalence in anisotropic models for higher order theory of gravity","authors":"S. Debnath, A. Sanyal","doi":"10.1142/s0219887821500584","DOIUrl":"https://doi.org/10.1142/s0219887821500584","url":null,"abstract":"We show that as in the case of isotropic models, the `Dirac Algorithm' and `Modified Horowitz' Formalism' lead to identical phase-space structure of the Hamiltonian for the gravitational action with curvature squared terms, in anisotropic space-time, viz, Bianchi-I, Bianchi-III and Kantowski-Sachs models too.","PeriodicalId":8443,"journal":{"name":"arXiv: High Energy Physics - Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73779612","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
Symplectic reduction of Yang-Mills theory with boundaries: from superselection sectors to edge modes, and back 带边界的杨-米尔斯理论的辛约简:从超选择扇区到边缘模式，再返回
arXiv: High Energy Physics - Theory Pub Date : 2020-10-29 DOI: 10.21468/SciPostPhys.10.6.125
A. Riello
{"title":"Symplectic reduction of Yang-Mills theory with boundaries: from superselection sectors to edge modes, and back","authors":"A. Riello","doi":"10.21468/SciPostPhys.10.6.125","DOIUrl":"https://doi.org/10.21468/SciPostPhys.10.6.125","url":null,"abstract":"I develop a theory of symplectic reduction that applies to bounded regions in Yang-Mills theory and electromagnetism. In this theory superselection sectors for the electric-flux play a central role. Within a given superselection sector, the symplectic structure of the reduced Yang-Mills theory can always be defined without inclusion of new degrees of freedom, but is a priori not unique. I then consider the possibility of defining a symplectic structure on the union of all superselection sectors. This in turn requires including additional boundary degrees of freedom aka \"edge modes.\" However, unless the new edge modes model a material physical system located at the boundary of the region, I argue that the the phase space extension by edge modes is also inherently ambiguous. In both the superselection and edge mode frameworks, the ambiguity can be understood as a residual gauge-fixing dependence due to the presence of boundaries -- a result that resonates with findings in QED with asymptotic boundaries. To conclude, I will compare and contrast the superselection and edge mode frameworks.","PeriodicalId":8443,"journal":{"name":"arXiv: High Energy Physics - Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77654615","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: 7
Bootstrapping mixed correlators in $mathcal{N}=4$ Super Yang-Mills. $mathcal{N}=4$ Super Yang-Mills中的自举混合相关器。
arXiv: High Energy Physics - Theory Pub Date : 2020-10-28 DOI: 10.1007/JHEP05(2021)111
A. Bissi, Andrea Manenti, A. Vichi
{"title":"Bootstrapping mixed correlators in $mathcal{N}=4$ Super Yang-Mills.","authors":"A. Bissi, Andrea Manenti, A. Vichi","doi":"10.1007/JHEP05(2021)111","DOIUrl":"https://doi.org/10.1007/JHEP05(2021)111","url":null,"abstract":"","PeriodicalId":8443,"journal":{"name":"arXiv: High Energy Physics - Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74048531","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
Properties of HYMNs in examples of four-color, five-color, and six-color adinkras 以四色、五色、六色为例分析赞美诗的性质
arXiv: High Energy Physics - Theory Pub Date : 2020-10-27 DOI: 10.1142/S0217751X21500822
S. Gates, Yangrui Hu, K. Stiffler
{"title":"Properties of HYMNs in examples of four-color, five-color, and six-color adinkras","authors":"S. Gates, Yangrui Hu, K. Stiffler","doi":"10.1142/S0217751X21500822","DOIUrl":"https://doi.org/10.1142/S0217751X21500822","url":null,"abstract":"The mathematical concept of a \"Banchoff index\" associated with discrete Morse functions for oriented triangular meshes has been shown to correspond to the height assignments of nodes in adinkras. In recent work there has been introduced the concept of \"Banchoff matrices\" leading to HYMNs - height yielding matrix numbers. HYMNs map the shape of an adinkra to a set of eigenvalues derived from Banchoff matrices. In the context of some examples of four-color, minimal five-color, and minimal six-color adinkras, properties of the HYMNs are explored.","PeriodicalId":8443,"journal":{"name":"arXiv: High Energy Physics - Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78604014","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
Schwinger effect in compact space 紧空间中的Schwinger效应
arXiv: High Energy Physics - Theory Pub Date : 2020-10-26 DOI: 10.1103/PhysRevD.103.125012
Prasant Samantray, Suprit Singh
{"title":"Schwinger effect in compact space","authors":"Prasant Samantray, Suprit Singh","doi":"10.1103/PhysRevD.103.125012","DOIUrl":"https://doi.org/10.1103/PhysRevD.103.125012","url":null,"abstract":"We consider a theory of scalar QED on a spatially compact 1+1-dimensional spacetime. By considering a constant electric field pointing down the compact dimension, we compute the quantum effective action by integrating out the scalar degrees of freedom in the Euclidean sector. Working in the saddle-point approximation we uncover two novel branches/physical regimes upon analytically continuing back to real time and discover a new result, hitherto unreported in previous literature. Implications of our results are discussed.","PeriodicalId":8443,"journal":{"name":"arXiv: High Energy Physics - Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81647734","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
Abelian mirror symmetry of $$ mathcal{N} $$ = (2, 2) boundary conditions $$ mathcal{N} $$ =(2,2)边界条件的阿贝尔镜像对称
arXiv: High Energy Physics - Theory Pub Date : 2020-10-25 DOI: 10.1007/JHEP03(2021)163
T. Okazaki
{"title":"Abelian mirror symmetry of $$ mathcal{N} $$ = (2, 2) boundary conditions","authors":"T. Okazaki","doi":"10.1007/JHEP03(2021)163","DOIUrl":"https://doi.org/10.1007/JHEP03(2021)163","url":null,"abstract":"","PeriodicalId":8443,"journal":{"name":"arXiv: High Energy Physics - Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85107097","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
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