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Classical and Quantum Lagrangian Field Theories with Boundary [PDF]
Proceedings of Proceedings of the Corfu Summer Institute 2011 — PoS(CORFU2011), 2012 This note gives an introduction to Lagrangian field theories in the presence of boundaries. After an overview of the classical aspects, the cohomological formalisms to resolve singularities in the bulk and in the boundary theories (the BV and the BFV formalisms, respectively) are recalled. One of the goals here (and in [arXiv:1201.0290]) is to show how
Cattaneo, A S, Mnëv, P, Reshetikhin, N
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O(N) models with boundary interactions and their long range generalizations
Journal of High Energy Physics, 2020 We study the critical properties of scalar field theories in d + 1 dimensions with O(N) invariant interactions localized on a d-dimensional boundary. By a combination of large N and epsilon expansions, we provide evidence for the existence of non-trivial
Simone Giombi, Himanshu Khanchandani
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Harvesting correlations from vacuum quantum fields in the presence of a reflecting boundary
Journal of High Energy Physics, 2023 We explore correlations harvesting by two static detectors locally interacting with vacuum massless scalar fields in the presence of an infinite perfectly reflecting boundary.
Zhihong Liu, Jialin Zhang, Hongwei Yu
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Operator expansions, layer susceptibility and two-point functions in BCFT
Journal of High Energy Physics, 2020 We show that in boundary CFTs, there exists a one-to-one correspondence between the boundary operator expansion of the two-point correlation function and a power series expansion of the layer susceptibility.
Parijat Dey, Tobias Hansen, Mykola Shpot
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Loop Quantum Gravity's Boundary Maps [PDF]
, 2021 In canonical quantum gravity, the presence of spatial boundaries naturally leads to a boundary quantum states, representing quantum boundary conditions for the bulk fields. As a consequence, quantum states of the bulk geometry needs to be upgraded to wave-functions valued in the boundary Hilbert space: the bulk become quantum operator acting on ...
arxiv +1 more source
Ground State for the Klein-Gordon field in anti-de Sitter spacetime with dynamical Wentzell boundary conditions [PDF]
, 2022 We consider a real Klein-Gordon field in the Poincar\'e patch of $(d+1)$-dimensional anti-de Sitter spacetime, PAdS$_{d+1}$, and impose dynamical boundary condition on the asymptotic boundary of PAdS$_{d+1}$ that depend explicitly on the second time derivative of the field at the boundary. These boundary conditions are of generalized Wentzell type.
arxiv +1 more source
Bootstrapping boundary-localized interactions
Journal of High Energy Physics, 2020 We study conformal boundary conditions for the theory of a single real scalar to investigate whether the known Dirichlet and Neumann conditions are the only possibilities.
Connor Behan +3 more
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Quantum field theories with boundaries and novel instabilities [PDF]
Physical Review D, 2014 Quantum physics on manifolds with boundary brings novel aspects due to boundary conditions. One important feature is the appearance of localised negative eigenmodes for the Laplacian on the boundary. These can potentially lead to instabilities. We consider quantum field theories on such manifolds and interpret these as leading to the onset of phase ...
V. P. Nair, T. R. Govindarajan
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Supersymmetric graphene on squashed hemisphere
Journal of High Energy Physics, 2021 We compute the partition function of N $$ \mathcal{N} $$ = 2 supersymmetric mixed dimensional QED on a squashed hemisphere using localization. Mixed dimensional QED is an abelian gauge theory coupled to charged matter fields at the boundary.
Rajesh Kumar Gupta +2 more
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Boundary energy and boundary states in integrable quantum field theories [PDF]
Nuclear Physics B, 1995 3 figures in the separate compressed file, 42 ...
LECLAIR A +3 more
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