On the question of symmetries in non-relativistic diffeomorphism invariant theories

Abstract

A novel algorithm is provided to couple a Galilean invariant model with curved spatial background by taking nonrelativistic limit of a unique minimally coupled relativistic theory, which ensures Galilean symmetry in the flat limit and canonical transformation of the original fields. That the twin requirements are fulfilled is ensured by a new field, the existence of which was demonstrated recently from Galilean gauge theory. The ambiguities and anomalies concerning the recovery of Galilean symmetry in the flat limit of spatial non relativistic diffeomorphic theories, reported in the literature, are focused and resolved from a new angle.

Latex, 17 pages, 1 figure, Minor changes in the text

References in corpus (11)

• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Membranes at Quantum Criticality
• General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas
• Newtonian Gravity and the Bargmann Algebra
• Geometry of Fractional Quantum Hall Fluids
• A new formulation of non-relativistic diffeomorphism invariance
• Effective theory of two-dimensional chiral superfluids: gauge duality and Newton-Cartan formulation
• General algorithm for non-relativistic diffeomorphism invariance
• Galilean invariance at quantum Hall edge
• More On Nonrelativistic Diffeomorphism Invariance
• Horava-Lifshitz Gravity and Effective Theory of the Fractional Quantum Hall Effect

Cited by in corpus (12)

• On the subtelties of nonrelativistic reduction and applications
• Galilean gauge theory from Poincare gauge theory
• Canonical Analysis of Non-Relativistic Particle and Superparticle
• Cosmological implications of shift symmetric Galileon field
• New formulation of Galilean relativistic Maxwell theory
• Sengupta Transformations and Carrollian Relativistic Theory
• Constrained Hamiltonian analysis of a non relativistic Schrodinger field coupled with C-S gravity
• Action principle of Galilean relativistic Proca theory
• Covariant Formulation of the Newton-Hooke Particle and its Canonical Analysis
• Formulation of Galilean relativistic Born-Infeld theory
• Canonical Formulation for a Non-relativistic Spinning Particle Coupled to Gravity
• Gauge interactions and the Galilean limit