scholarly journals Spontaneous Symmetry Breaking and Nambu–Goldstone Bosons in Quantum Many-Body Systems

Symmetry ◽  
2010 ◽  
Vol 2 (2) ◽  
pp. 609-657 ◽  
Author(s):  
Tomáš Brauner
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Many Body ◽  
Goldstone Bosons ◽  
Many Body Systems

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 Gauge theory approach to branes and spontaneous symmetry breaking

2017 ◽  
Vol 29 (03) ◽  
pp. 1750009 ◽  
Author(s):  
A. A. Zheltukhin
Keyword(s):  
Gauge Theory ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Vector Fields ◽  
Theory Approach ◽  
Tensor Fields ◽  
Broken Symmetries ◽  
Goldstone Bosons ◽  
Dimensional Minkowski Space ◽  
Poincaré Symmetry

We discuss the gauge theory approach to consideration of the Nambu–Goldstone bosons as gauge and vector fields represented by the Cartan forms of spontaneously broken symmetries. The approach is generalized to describe the fundamental branes in terms of [Formula: see text]-dimensional worldvolume gauge and massless tensor fields consisting of the Nambu–Goldstone bosons associated with the spontaneously broken Poincaré symmetry of the [Formula: see text]-dimensional Minkowski space.

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).

scholarly journals Corrections to Wigner–Eckart Relations by Spontaneous Symmetry Breaking

Symmetry ◽  
2020 ◽  
Vol 12 (7) ◽  
pp. 1120
Author(s):  
Carlo Heissenberg ◽  
Franco Strocchi
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Irreducible Representations ◽  
Matrix Elements ◽  
Infinite Dimensional ◽  
Infinite Dimensional Systems ◽  
Goldstone Bosons ◽  
The Matrix ◽  
Symmetry Breaking Term ◽  
Breaking Term

The matrix elements of operators transforming as irreducible representations of an unbroken symmetry group G are governed by the well-known Wigner–Eckart relations. In the case of infinite-dimensional systems, with G spontaneously broken, we prove that the corrections to such relations are provided by symmetry breaking Ward identities, and simply reduce to a tadpole term involving Goldstone bosons. The analysis extends to the case in which an explicit symmetry breaking term is present in the Hamiltonian, with the tadpole term now involving pseudo Goldstone bosons. An explicit example is discussed, illustrating the two cases.

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