Geometry of Classical Nambu-Goldstone Fields

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1. Verfasser: Radošević, Slobodan
Format: Preprint
Veröffentlicht: 2024
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_version_ 1866917902991491072
author Radošević, Slobodan
author_facet Radošević, Slobodan
contents A coordinate-free formulation of first order effective field theory, in which Nambu-Goldstone fields are described as sections on associated bundle, is presented. This construction, which is based only on symmetry considerations, allows for a direct derivation of number and types of Nambu-Goldstone fields in a classical field theory without any reference to effective Lagrangian. A central role in classification is shown to be played by Lorentz-symmetry breaking order parameter which induces symplectic structure in the field space of the theory.
format Preprint
id arxiv_https___arxiv_org_abs_2406_13643
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Geometry of Classical Nambu-Goldstone Fields
Radošević, Slobodan
High Energy Physics - Theory
Strongly Correlated Electrons
High Energy Physics - Phenomenology
A coordinate-free formulation of first order effective field theory, in which Nambu-Goldstone fields are described as sections on associated bundle, is presented. This construction, which is based only on symmetry considerations, allows for a direct derivation of number and types of Nambu-Goldstone fields in a classical field theory without any reference to effective Lagrangian. A central role in classification is shown to be played by Lorentz-symmetry breaking order parameter which induces symplectic structure in the field space of the theory.
title Geometry of Classical Nambu-Goldstone Fields
topic High Energy Physics - Theory
Strongly Correlated Electrons
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2406.13643