Boundaries
in Field Theory| 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].
@ Fields propagating across junctions: Fomin & Shtanov CQG(02)ht/00;
> s.a. actions for general relativity, metric
matching conditions.
@ Related topics: Kheyfets & Wheeler IJTP(86)
[boundary of a boundary principle];
Galvan qp/98 [measure
on boundary conditions]; Zuber ht/00-ln
[rational conformal field theory].
Bulk and Boundary Relationship > s.a. AdS-cft [and
Maldacena conjecture]; holography;
topology.
@ Specific spacetimes:
Keski-Vakkuri PRD(99)ht/98 [BTZ
black holes].
@ Related topics: Balasubramanian et al PRD(99)ht/98 [anti-de Sitter],
JHEP(00)ht;
Longo & Rehren RVMP(04)mp [boundary
conformal field theory]; Hertog & Horowitz PRL(05)ht/04.
Field Theories on Manifolds with Boundary
> Examples: see actions
for general relativity; BF theories; branes; canonical
general relativity;
dilaton;
electromagnetism and in
curved spacetime; gauge
theories; gravitational energy; hamiltonian
systems; quasilocal
general relativity;
supersymmetric field theories; topological
field theories.
Boundaries in Quantum Field Theory > s.a. klein-gordon; QED;
types of yang-mills gauge theories.
@ General references: Solodukhin NPB(99)ht/98 [correlation
functions and Green's functions]; Susskind & Witten ht/98 [holographic
bound]; Giddings PRL(99)ht;
Esposito ht/00-in
[conceptual]; Oeckl PLB(03)ht [for
quantum mechanics and quantum gravity]; Oeckl ATMP(08)ht/05,
JPCS(07)ht/06-in
[general boundary formulation]; Asorey et al JPA(06)
[space of boundary conditions for scalar quantum field theory]; Guo et al
IJTP(08)
[canonical quantization]; Ford & Svaiter a0903 [fluid analog model].
@ Euclidean quantum field theory: Esposito gq/95-in
[electromagnetism], et
al 97 [quantum gravity]; Conrady & Rovelli IJMPA(04)ht/03 ["general
boundary" formulation].
@ Gauge theory: Vassilevich PRD(95)gq/94 [QED];
Vassilevich PLB(98)ht/97 [Faddeev-Popov];
Esposito IJMPA(00)ht [boundary
operators].
@ Edge states: John et al NPB(95) [and renormalization group]; Boschi-Filho & Braga
PLB(02)ht/01 [field
operators].
@ Types of quantum field theories: Bajnok et al NPB(05)
[1+1]; Haba AP(06)
[with boundary/brane interaction].
@ 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].
main page – abbreviations – journals – comments – other
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send feedback and suggestions to bombelli at olemiss.edu – modified 26
apr
2009