Gauge symmetry from decoupling
arXiv:1608.01515 · doi:10.1016/j.nuclphysb.2016.12.008
Abstract
Gauge symmetries emerge from a redundant description of the effective action for light degrees of freedom after the decoupling of heavy modes. This redundant description avoids the use of explicit constraints in configuration space. For non-linear constraints the gauge symmetries are non-linear. In a quantum field theory setting the gauge symmetries are local and can describe Yang-Mills theories or quantum gravity. We formulate gauge invariant fields that correspond to the non-linear light degrees of freedom. In the context of functional renormalization gauge symmetries can emerge if the flow generates or preserves large mass-like terms for the heavy degrees of freedom. They correspond to a particular form of gauge fixing terms in quantum field theories.
18 pages, 1 figure
References in corpus (12)
- Exact evolution equation for the effective potential
- Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories
- Atomic Quantum Simulation of U(N) and SU(N) Non-Abelian Lattice Gauge Theories
- Photons and electrons as emergent phenomena
- Generalized Parametrization Dependence in Quantum Gravity
- On the origin of artificial electrodynamics and other stories in three-dimensional bosonic models
- "Light from chaos" in two dimensions
- Lattice diffeomorphism invariance
- Scalar lattice gauge theory
- Quantum and Classical Gauge Symmetries in a Modified Quantization Scheme
- Quantum and Classical Gauge Symmetries
- Linear lattice gauge theory
Cited by in corpus (16)
- Quantum gravity: a fluctuating point of view
- Asymptotic safety of higher derivative quantum gravity non-minimally coupled with a matter system
- Reliability of lattice gauge theories
- Correlation functions on a curved background
- Graviton fluctuations erase the cosmological constant
- Gauge protection in non-Abelian lattice gauge theories
- Gauge-invariant fields and flow equations for Yang-Mills theories
- Infinite order quantum-gravitational correlations
- Quantum correlations for the metric
- The Higgs boson -- its implications and prospects for future discoveries
- Lattice gauge theories in the presence of a linear gauge-symmetry breaking
- Emergent gauge symmetries -- making symmetry as well as breaking it
- Breaking of the gauge symmetry in lattice gauge theories
- Emergent Gauge Symmetries and Particle Physics
- The cosmological constant and scale hierarchies with emergent gauge symmetries
- Diffeomorphism Invariance Breaking in Gravity and Cosmological Evolution