Action principle of Galilean relativistic Proca theory

In this paper, we discuss Galilean relativistic Proca theory in detail. We first provide a set of mapping relations, derived systematically, that connect the covariant and contravariant vectors in the Lorentz relativistic and Galilean relativistic formulations. Exploiting this map, we construct the...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2023-10, Vol.83 (10), p.916-11, Article 916
Main Authors: Banerjee, Rabin, Bhattacharya, Soumya
Format: Article
Language:English
Subjects:
Analysis
Astronomy
Astrophysics and Cosmology
Electromagnetism
Elementary Particles
Formalism
Gravitational waves
Hadrons
Heavy Ions
Magnetic fields
Mapping
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
Relativistic effects
Relativistic theory
String Theory
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Summary:In this paper, we discuss Galilean relativistic Proca theory in detail. We first provide a set of mapping relations, derived systematically, that connect the covariant and contravariant vectors in the Lorentz relativistic and Galilean relativistic formulations. Exploiting this map, we construct the two limits of Galilean relativistic Proca theory from usual Proca theory in the potential formalism for both contravariant and covariant vectors which are now distinct entities. An action formalism is thereby derived from which the field equations are obtained and their internal consistency is shown. Next we construct Noether currents and show their on-shell conservation. We introduce analogues of Maxwell’s electric and magnetic fields and recast the entire analysis in terms of these fields. Explicit invariance under Galilean transformations is shown for both electric/magnetic limits. We then move to discuss Stuckelberg embedded Proca model in the Galilean framework.
ISSN:1434-6052
1434-6044
1434-6052
DOI:10.1140/epjc/s10052-023-12098-2