Spontaneous symmetry breaking: a view from derived geometry
| Autor: | Chris Elliott, Owen Gwilliam |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Spontaneous symmetry breaking
High Energy Physics::Lattice General Physics and Astronomy FOS: Physical sciences Geometry 01 natural sciences symbols.namesake High Energy Physics::Theory 0103 physical sciences Mathematics - Quantum Algebra FOS: Mathematics Quantum Algebra (math.QA) Gauge theory Symmetry breaking 0101 mathematics Mathematical Physics Mathematics Gauge boson 010102 general mathematics High Energy Physics::Phenomenology Mathematical Physics (math-ph) Massless particle Goldstone boson symbols 010307 mathematical physics Geometry and Topology Rewriting Higgs mechanism |
| Popis: | We examine symmetry breaking in field theory within the framework of derived geometry, as applied to field theory via the Batalin-Vilkovisky formalism. Our emphasis is on the standard examples of Ginzburg-Landau and Yang-Mills-Higgs theories and is primarily interpretive. The rich, sophisticated language of derived geometry captures the physical story elegantly, allowing for sharp formulations of slogans (e.g., for the Higgs mechanism, that the unstable ghosts eat the Goldstone modes). Rewriting these results in the BV formalism provides, as one nice payoff, a reformulation of 't Hooft's family of gauge-fixing conditions for spontaneously broken gauge theory that behaves well in the $\xi \to \infty$ limit. Comment: 19 pages, comments welcome |
| Databáze: | OpenAIRE |
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