scholarly journals The many-body content of quantum gauge theories and spontaneous symmetry breaking

1982 ◽  
Vol 197 (2) ◽  
pp. 334-346 ◽  
Author(s):  
F. Palumbo
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Gauge Theories ◽  
Many Body ◽  
The Many

Gauge hierarchies for chiral SU(N) × SU(N) groups

1976 ◽  
Vol 54 (16) ◽  
pp. 1660-1663 ◽  
Author(s):  
Shalom Eliezer
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Gauge Theories ◽  
Vacuum Expectation ◽  
Coupling Constants ◽  
Spontaneous Breaking ◽  
Text Representation ◽  
Algebraic Equations ◽  
Expectation Values ◽  
Special Case

We have presented a special case where a hierarchy of spontaneous breaking of the symmetries can be achieved in conventional gauge theories (i.e. the Higgs scalars are elementary bosons and the coupling constants of the quartic interactions are small). We break spontaneously the chiral group SU(N) × SU(N) with Higgs scalars transforming like the (N, [Formula: see text]) representation of SU(N) × SU(N). By minimizing the potential we obtain a set of algebraic equations of the type[Formula: see text]where ηj are the vacuum expectation values of the Higgs scalars and μi2 and Aij are parameters. In order to get a hierarchy of spontaneous symmetry breaking we obtain the condition det Aij = 0.

MANY-BODY PHYSICS AND SPONTANEOUS SYMMETRY BREAKING

2006 ◽  
Vol 20 (19) ◽  
pp. 2579-2590 ◽  
Author(s):  
SPARTAK T. BELYAEV
Keyword(s):  
Symmetry Breaking ◽  
Density Matrix ◽  
Spontaneous Symmetry Breaking ◽  
Nuclear Structure ◽  
Bose Gas ◽  
Personal Perspective ◽  
Many Body ◽  
New Approach ◽  
Many Body Physics

The idea of spontaneous symmetry breaking in many-body physics from personal perspective (Bose-gas, nuclear structure and a new approach of Generalized Density Matrix).

METHOD OF THERMODYNAMIC QUASIAVERAGES

1991 ◽  
Vol 05 (20) ◽  
pp. 3235-3253 ◽  
Author(s):  
V.I. YUKALOV
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Thermodynamic Limit ◽  
New Method ◽  
Many Body ◽  
Mixed States ◽  
External Sources ◽  
Pure States ◽  
Many Body Systems ◽  
General Conditions

A new method is developed to define pure states for many-body systems with spontaneous symmetry breaking. The advantage of the method is in the use of solely the standard thermodynamic limit, as compared to the Bogolubov method of infinitesimal external sources which invokes two limiting procedures: the standard thermodynamic limit and the elimination of external sources. The general conditions for obtaining pure states are formulated. When these conditions do not hold mixed states appear. The method is illustrated by calculations for two simple models.

scholarly journals Spontaneous symmetry breaking in gauge theories

2015 ◽  
Vol 373 (2032) ◽  
pp. 20140033 ◽  
Author(s):  
T. W. B. Kibble
Keyword(s):  
World War I ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Particle Physics ◽  
Gauge Theories ◽  
Second World War ◽  
Unified Theory ◽  
World War ◽  
Electromagnetic Interactions ◽  
Second World

The aim of this historical article is to describe the development of the idea of spontaneous symmetry breaking in gauge theories as seen from my perspective as a member of Abdus Salam's group at Imperial College London, UK. Beginning with an account of particle physics in the years after the Second World War, I describe early attempts at constructing a unified theory of weak and electromagnetic interactions, the obstacles encountered and how they were eventually overcome with the mass-generating mechanism incorporating the idea of spontaneous symmetry breaking, one of whose features is the now-famous Higgs boson.

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