Boundaries in Field Theory  

In General > s.a. hamiltonian dynamics; symplectic structures.
* Issues: Choice of boundary terms in the action, or other functionals such as conserved quantities, and boundary conditions for (bulk) field theories, taking into account possible corner terms where the boundary is not smooth and/or possible null portions of the boundary.
@ Boundary dynamics: Bordag et al PRD(02)ht/01 [Robin boundary conditions]; Rubalcava-Garcia a2003 [from bulk theory, degrees of freedom].
@ Fields propagating across junctions: Fomin & Shtanov CQG(02)ht/00; > s.a. actions for general relativity; metric matching conditions.
@ Boundary conditions: Trautman BAPS(58)-a1604 [at infinity]; Galvan qp/98 [measure]; Wharton Sym(10)-a1003 + pirsa(09) [time-symmetric, and quantum foundations].
@ Related topics: Kheyfets & Wheeler IJTP(86) [boundary of a boundary principle]; Zuber ht/00-ln [rational conformal field theory].

Field Theories on Manifolds with Boundary > s.a. ads-cft correspondence [and Maldacena conjecture]; holography; topology.
@ General references: Barbero et al CQG(14)-a1306 [Hamiltonian and symplectic-Lagrangian descriptions]; Troessaert a1506 [canonical structure].
@ Bulk / boundary relationship: Balasubramanian et al PRD(99)ht/98 [anti-de Sitter space], JHEP(00)ht; Longo & Rehren RVMP(04)mp [boundary conformal field theory]; Hertog & Horowitz PRL(05)ht/04.
@ Edge modes: Freidel et al a2006 [gravitational systems].
@ Specific spacetimes: Keski-Vakkuri PRD(99)ht/98 [BTZ black holes].
> Examples: see actions for general relativity; BF theories; branes; canonical general relativity; chern-simons theory; dilaton; electromagnetism and in curved spacetime; gauge theories; gravitational energy; hamiltonian systems; parametrized theories; quasilocal general relativity; supersymmetric field theories; topological field theories.

Boundaries in Quantum Field Theory > s.a. klein-gordon theory; QED; types of yang-mills theories.
@ General references: Solodukhin NPB(99)ht/98 [correlations and Green's functions]; Susskind & Witten ht/98 [holographic bound]; Giddings PRL(99)ht; Esposito ht/00-proc [conceptual]; Oeckl PLB(03)ht [for quantum mechanics and quantum gravity]; Asorey et al JPA(06) [space of boundary conditions for scalar quantum field theory]; Guo et al IJTP(08) [canonical quantization]; Ford & Svaiter PRD(09)-a0903 [fluid analog model]; Asorey & Muñoz-Castañeda IJGMP(12)-a1307 [effect on infrared behavior]; Govindarajan & Nair PRD(14) [instabilities]; Lowdon NPB(14)-a1408 [necessary and sufficient condition for arbitrary spatial boundary terms to vanish, and QCD example]; Asorey et al a1501 [charge conservation and properties of the space of physical boundary conditions]; Rehren a1601-proc [boundary condition classification]; Juárez-Aubry & Weder a2004 [dynamical boundary conditions].
@ General-boundary formulation: Oeckl ATMP(08)ht/05, JPCS(07)ht/06; Oeckl Sigma(12)-a1009 [holomorphic quantization of linear field theory]; Oeckl ATMP(15)-a1201 [Schrödinger-Feynman quantization]; > s.a. gauge theories; quantum statistical mechanics.
@ Euclidean quantum field theory: Esposito DMA-gq/95 [electromagnetism]; Conrady & Rovelli IJMPA(04)ht/03 ["general boundary" formulation].
@ Gravity: Esposito et al 97; Wieland AHP(17)-a1706 [boundary modes and discreteness of the area spectrum]; Park JHEP(19)-a1811.
@ Gauge theory: Vassilevich PRD(95)gq/94 [QED]; Vassilevich PLB(98)ht/97 [Faddeev-Popov]; Esposito IJMPA(00)ht [boundary operators]; Riello a2010 [symplectic reduction of Yang-Mills theory with boundaries].
@ Edge states: John et al NPB(95) [and renormalization group]; Boschi-Filho & Braga PLB(02)ht/01 [field operators]; Asorey et al RVMP(16)-a1505 [and Robin boundary conditions]; Govindarajan & Tibrewala PRD(15)-a1506 [for the Dirac operator on manifolds with boundary]; Karabali & Nair PRD(15)-a1507 [boundary action for boundary conditions as bilocal dynamical fields]; Barbero et al CQG(17)-a1701 [boundary Hilbert spaces]; Hashimoto et al PRB(17)-a1702 [edge-of-edge states, and condensed-matter physics].
@ Algebraic approach: Longo & Witten CMP(11)-a1004; Nosari a1512-proc.
@ Types of quantum field theories: Bajnok et al NPB(05) [1+1 dimensions]; Haba AP(06) [with boundary/brane interaction]; Fosco et al PLB(10)-a0912 [with singular boundary interactions].
@ Related topics: Bajnok et al NPB(04)ht/03 [perturbative]; Elizalde JPA(03)ht [boundary conditions]; Bastianelli et al JHEP(07)ht/06 [worldline approach]; Fosco et al PRD(10)-a1011 [inertial forces and dissipation on accelerated boundaries]; > s.a. mirrors in quantum field theory.

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