Effective field theory for dissipative photons from higher-form symmetries

Abstract

Recent developments in generalized symmetries have provided new insights into quantum field theories. Within this framework, photons can be understood as Nambu-Goldstone modes associated with a spontaneously broken higher-form symmetry. In this work, we develop an effective field theory that builds on this symmetry structure to describe the real-time dynamics of photons in insulating media at finite temperature. Combining the Schwinger-Keldysh formalism with the generalized coset construction, we formulate a symmetry-based effective action that incorporates both conservative and dissipative effects. The effective theory implements the dynamical Kubo-Martin-Schwinger symmetry, ensuring consistency with the fluctuation-dissipation relation and Onsager's reciprocal relations. Within this framework, we derive the entropy current associated with dissipative photon dynamics and demonstrate the non-negativity of its divergence, in accordance with the second law of thermodynamics. We also clarify the symmetry origin of the gauge redundancy in the unbroken phase within the Schwinger-Keldysh framework, relating it to strong and weak realizations of higher-form symmetries. Our results provide a model-independent effective description of photon dynamics in insulating media at finite temperature.

arXiv comment48 pages, no figures, includes appendix

References in corpus (37)

• The Chiral Magnetic Effect
• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• Generalized Global Symmetries
• Symmetries and conserved quantities in Lindblad master equations
• Primordial Magnetic Fields, Right Electrons, and the Abelian Anomaly
• Subdimensional Particle Structure of Higher Rank U(1) Spin Liquids
• A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains
• Generalized Electromagnetism of Subdimensional Particles: A Spin Liquid Story
• Unified Description of Nambu-Goldstone Bosons without Lorentz Invariance
• Fracton-Elasticity Duality
• Self-consistent evolution of magnetic fields and chiral asymmetry in the early Universe
• Chiral Plasma Instabilities
• Counting rule for Nambu-Goldstone modes in nonrelativistic systems
• Adiabatic hydrodynamics: The eightfold way to dissipation
• Schwinger-Keldysh formalism I: BRST symmetries and superspace
• Chiral Effects and Cosmic Magnetic Fields
• Effective field theory for dissipative fluids (II): classical limit, dynamical KMS symmetry and entropy current
• Self-similar inverse cascade of magnetic helicity driven by the chiral anomaly
• Effective Lagrangian for Nonrelativistic Systems
• Goldstone modes and photonization for higher form symmetries
• On thermal fluctuations and the generating functional in relativistic hydrodynamics
• Strong-to-Weak Spontaneous Symmetry Breaking in Mixed Quantum States
• Effective Action for Relativistic Hydrodynamics: Fluctuations, Dissipation, and Entropy Inflow
• Scaling laws in chiral hydrodynamic turbulence
• MagnetoHydrodynamics with chiral anomaly: phases of collective excitations and instabilities
• A panoply of Schwinger-Keldysh transport
• Spontaneous symmetry breaking and Nambu-Goldstone modes in dissipative systems
• Counting Nambu-Goldstone modes of higher-form global symmetries
• Hydrodynamics as the effective field theory of strong-to-weak spontaneous symmetry breaking
• Effective Lagrangian for Nambu-Goldstone modes in nonequilibrium open systems
• Spontaneous symmetry breaking and Nambu-Goldstone modes in open classical and quantum systems
• Triangle anomalies and nonrelativistic Nambu-Goldstone modes of generalized global symmetries
• A symmetry principle for gauge theories with fractons
• The Schwinger-Keldysh Coset Construction
• An Open Effective Field Theory for light in a medium
• Spontaneous symmetry breaking in open quantum systems: strong, weak, and strong-to-weak
• Effective field theories of dissipative fluids with one-form symmetries