REVIEW 24 cited by
Covariant phase space with boundaries
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Covariant phase space with boundaries
read the original abstract
The covariant phase space method of Iyer, Lee, Wald, and Zoupas gives an elegant way to understand the Hamiltonian dynamics of Lagrangian field theories without breaking covariance. The original literature however does not systematically treat total derivatives and boundary terms, which has led to some confusion about how exactly to apply the formalism in the presence of boundaries. In particular the original construction of the canonical Hamiltonian relies on the assumed existence of a certain boundary quantity "$B$", whose physical interpretation has not been clear. We here give an algorithmic procedure for applying the covariant phase space formalism to field theories with spatial boundaries, from which the term in the Hamiltonian involving $B$ emerges naturally. Our procedure also produces an additional boundary term, which was not present in the original literature and which so far has only appeared implicitly in specific examples, and which is already nonvanishing even in general relativity with sufficiently permissive boundary conditions. The only requirement we impose is that at solutions of the equations of motion the action is stationary modulo future/past boundary terms under arbitrary variations obeying the spatial boundary conditions; from this the symplectic structure and the Hamiltonian for any diffeomorphism that preserves the theory are unambiguously constructed. We show in examples that the Hamiltonian so constructed agrees with previous results. We also show that the Poisson bracket on covariant phase space directly coincides with the Peierls bracket, without any need for non-covariant intermediate steps, and we discuss possible implications for the entropy of dynamical black hole horizons.
Forward citations
Cited by 24 Pith papers
-
Relational path integral, effective actions and quantum frame covariance in gravity
The gravitational path integral is reformulated with dynamical reference frames, producing gauge-invariant correlators, frame-dependent vacua, and effective actions, with sharpness of events becoming frame-relative.
-
The BEF Symplectic Form: A Lagrangian Perspective
The BEF symplectic form is derived from L∞-Lagrangians via covariant phase space methods and coincides with the Barnich-Brandt form for second-order equations of motion.
-
Explicit and covariant formula for thermodynamic volume in extended black hole thermodynamics
An explicit covariant formula for thermodynamic volume is derived that universally decomposes into explicit Lagrangian coupling dependence plus dynamical field response contributions.
-
Gravitational Memory Beyond Null Infinity through Finite-Distance Carrollian Screens
Finite-distance null screens carry a Carrollian memory whose leading tracefree large-radius part reproduces the standard Bondi displacement memory in Robinson–Trautman spacetimes.
-
Einstein-aether Elliptic Charges and the First Law of Asymptotically AdS Black Holes
Einstein-aether theory admits an elliptic charge arising from a symmetry of the reduced action that explains the misalignment contribution to the first law for asymptotically AdS universal horizons.
-
Conserved charges and $L_\infty$ algebras
A formula for conserved charges expressed solely via L_infinity algebra data for arbitrary Lagrangian theories, shown to recover the Brown-York surface charge in GR.
-
Large-$N$ Carrollian Thermodynamics from AdS Black-Hole Phase-Space Contractions
Finite Carrollian limit of extended AdS first law is reinterpreted as double-scaled large-N low-temperature holographic ensemble with finite products, new boundary stress tensor, and celestial correlator representations.
-
Large-$N$ Carrollian Thermodynamics from AdS Black-Hole Phase-Space Contractions
Finite Carrollian black-hole thermodynamics arises as a double-scaled low-temperature large-N ensemble in AdS/CFT, with the boundary Brown-York stress tensor reproducing the contracted bulk Hamiltonian and first law.
-
Revisiting boundary electromagnetic duality and edge modes
In 4D Maxwell theory, standard Neumann/Dirichlet boundary conditions render large gauge transformations and edge mode shifts as gauge redundancies, while modified conditions make them physical symmetries generated by ...
-
Covariant phase space approach to noncommutativity in tensile and tensionless open strings
Covariant phase space analysis shows tensionless open strings in constant Kalb-Ramond background have purely boundary-supported phase space with noncommutative endpoint coordinates, recovering Seiberg-Witten noncommut...
-
The BEF Symplectic Form: A Lagrangian Perspective
The BEF symplectic form for L∞ field theories is derived from a Lagrangian and shown to equal the Barnich–Brandt form for second-order equations of motion.
-
Symplectic structure in open string field theory III: Electric field
OSFT symplectic energy of a constant-electric-flux D-brane matches the DBI energy via a generalized Ellwood invariant for nonpolynomial theories.
-
Modular Witten Diagrams and Quantum Extremality
Modular Witten diagrams reproduce the O(λ² G_N) correction to holographic entanglement entropy, matching the canonical energy term in the quantum Ryu-Takayanagi formula with wedge shape deformation.
-
Covariant phase space and the semi-classical Einstein equation
A semi-classical symplectic two-form is defined as the sum of the gravitational symplectic form and the Berry curvature of the quantum matter state; it is shown to be independent of the Cauchy slice and to satisfy a q...
-
Canonical quantization for effective theories with perturbations altering degrees of freedom: a covariant phase space approach
Covariant phase space allows perturbative canonical quantization of theories whose velocity-dependent perturbations alter constraints and phase-space dimension, matching the exact low-energy spectrum and commutators o...
-
Canonical quantization of the Pais-Uhlenbeck oscillator with a higher-derivative perturbation: a covariant phase space approach
A covariant phase-space perturbation scheme for the Pais-Uhlenbeck oscillator reproduces the exact low-energy spectrum and commutator while decoupling the Ostrogradsky ghost.
-
Dynamical Entropy Is a Noether Charge
A Noether-charge derivation of the known HWZ dynamical entropy for generic null surfaces, whose local second-law proof is invalid as printed because Eq. (19) has the wrong sign in K.
-
Canonical quantization for effective theories with perturbations altering degrees of freedom: a covariant phase space approach
Covariant phase space formalism enables perturbative canonical quantization of higher-derivative perturbed theories, verified on a solvable 2D charged particle model where perturbative results match exact expansion.
-
Charges of supergravity
In N=1 supergravity as constrained BF theory, the algebra of boundary charges matches the superalgebra with translational charges vanishing on-shell from the super-torsion constraint.
-
Validity of the Background Subtraction Method for Black Hole Thermodynamics in Matter-Coupled Gravity Theories
Background subtraction for black hole thermodynamics is valid and equivalent to Iyer-Wald in matter-coupled gravity theories, with smooth performance in examples but subtleties for certain matter fields.
-
Effective density matrix for vacua in asymptotically flat gravity
The vacuum of a large causal diamond in asymptotically flat gravity is claimed to be a Gaussian in the supertranslation Goldstone mode, giving modular Hamiltonian variance A/epsilon squared.
-
Semi-classical spacetime thermodynamics
Derives semi-classical gravity from thermodynamics of stretched light cones in 2D dilaton gravity with explicit conformal anomaly backreaction and shows equations of motion follow from dynamical Wald entropy in Brans-...
-
Quantum reference frames for spacetime symmetries and large gauge transformations
Applies operational quantum reference frames to obtain type reduction for QFT algebras and to quantize boundary electric fluxes with gluing for quantum electromagnetism on spacetimes with boundaries.
-
GGI lectures on boundary and asymptotic symmetries
A lecture-note review of boundary and asymptotic symmetries that re-derives the BMS group as the asymptotic symmetry group of Minkowski spacetime alone and constructs an integral Hamiltonian generator for scalar-field...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.