Quantization of interacting Galilean field theories

A bstract We present the quantum field description of Galilean electrodynamics minimally coupled to massless Galilean fermion in (3 + 1)-dimensions. At classical level, the Lagrangian is obtained as a null reduction of a relativistic theory in one higher dimension. We use functional techniques to de...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2022; no. 8; pp. 66 - 21
Main Authors Banerjee, Kinjal, Sharma, Aditya
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 04.08.2022
Springer Nature B.V
SpringerOpen
Subjects
Algebra
Classical and Quantum Gravitation
Condensed matter physics
Electrodynamics
Elementary Particles
Fermions
Gauge Symmetry
High energy physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativistic theory
Relativity Theory
Renormalization and Regularization
Renormalization Group
Spacetime
String Theory
Symmetry
Gauge Symmetry
Renormalization Group
Renormalization and Regularization
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Summary:A bstract We present the quantum field description of Galilean electrodynamics minimally coupled to massless Galilean fermion in (3 + 1)-dimensions. At classical level, the Lagrangian is obtained as a null reduction of a relativistic theory in one higher dimension. We use functional techniques to develop the quantum field description of the theory. Quantum corrections to the propagators and vertex are obtained upto first order and the theory is found to be renormalizable to this order. The beta function of the theory is found to grow linearly; the theory is not asymptotically free.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP08(2022)066