Gauge Symmetry Breaking in Gauge Theories---In Search of Clarification

Friederich, Simon (2011) Gauge Symmetry Breaking in Gauge Theories---In Search of Clarification. [Preprint]

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Abstract

The paper investigates the spontaneous breaking of gauge symmetries in gauge theories from a philosophical angle, taking into account the fact that the notion of a spontaneously broken local gauge symmetry, though widely employed in textbook expositions of the Higgs mechanism, is
not supported by our leading theoretical frameworks of gauge quantum theories. In the context of lattice gauge theory, the statement that local gauge symmetry cannot be spontaneously broken can even be made rigorous in the form of Elitzur’s theorem. Nevertheless, gauge symmetry breaking does occur in gauge quantum field theories in the form of the breaking of remnant subgroups of the original local gauge group under which the theories typically remain invariant after gauge fixing. The paper discusses the relation between these instances of symmetry breaking and phase transitions and draws some more general conclusions for the philosophical interpretation of gauge symmetries and their breaking.

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Item Type:

Preprint

Creators:

Creators	Email	ORCID
Friederich, Simon	friederich@uni-wuppertal.de

Additional Information:

Penultimate version containing major revisions and improvements over earlier ones. Forthcoming with some additional slight changes in "European Journal for Philosophy of Science"

Keywords:

gauge theories; symmetry breaking; phase transitions; Higgs mechanism

Subjects:

Specific Sciences > Physics > Quantum Field Theory
Specific Sciences > Physics > Symmetries/Invariances

Depositing User:

Dr. Simon Friederich

Date Deposited:

05 Aug 2012 15:48

Last Modified:

05 Aug 2012 15:48

Item ID:

9268