Goldstone theorem at finite temperature and density

1987 ◽  
Vol 35 (12) ◽  
pp. 3940-3943 ◽  
Author(s):  
Kenneth L. Kowalski
Keyword(s):  
Finite Temperature ◽  
Goldstone Theorem

scholarly journals Algebraic Approach to Bose–Einstein Condensation in Relativistic Quantum Field Theory: Spontaneous Symmetry Breaking and the Goldstone Theorem

2020 ◽  
Author(s):  
Romeo Brunetti ◽  
Klaus Fredenhagen ◽  
Nicola Pinamonti
Keyword(s):  
Finite Temperature ◽  
Relativistic Quantum ◽  
Algebraic Approach ◽  
Einstein Condensation ◽  
Goldstone Theorem ◽  
Complex Scalar ◽  
Linearized Theory ◽  
Complex Scalar Field ◽  
Bose Einstein ◽  
Infrared Divergences

AbstractWe construct states describing Bose–Einstein condensates at finite temperature for a relativistic massive complex scalar field with $$|\varphi |^4$$ | φ | 4 -interaction. We start with the linearized theory over a classical condensate and construct interacting fields by perturbation theory. Using the concept of thermal masses, equilibrium states at finite temperature can be constructed by the methods developed in Fredenhagen and Lindner (Commun Math Phys 332:895, 2014) and Drago et al. (Ann Henri Poincaré 18:807, 2017). Here, the principle of perturbative agreement plays a crucial role. The apparent conflict with Goldstone’s theorem is resolved by the fact that the linearized theory breaks the U(1) symmetry; hence, the theorem applies only to the full series but not to the truncations at finite order which therefore can be free of infrared divergences.

Evading the Goldstone theorem

2015 ◽  
Vol 185 (10) ◽  
pp. 1059-1060 ◽  
Author(s):  
Peter W. Higgs
Keyword(s):  
Goldstone Theorem

scholarly journals Unblocking of stellar electron capture for neutron-rich N=50 nuclei at finite temperature

2020 ◽  
Vol 101 (2) ◽  
Author(s):  
Alan A. Dzhioev ◽  
K. Langanke ◽  
G. Martínez-Pinedo ◽  
A. I. Vdovin ◽  
Ch. Stoyanov
Keyword(s):  
Electron Capture ◽  
Finite Temperature

Evolution of nonlinear stationary formations in a quantum plasma at finite temperature

2021 ◽  
Vol 76 (4) ◽  
pp. 329-347
Author(s):  
Swarniv Chandra ◽  
Chinmay Das ◽  
Jit Sarkar
Keyword(s):  
Finite Temperature ◽  
Acoustic Waves ◽  
Quantum Plasma ◽  
Quantum Hydrodynamics ◽  
Stationary Structure ◽  
Gradual Evolution ◽  
Layer Structures ◽  
Model Equations ◽  
Electron Acoustic ◽  
Shock Fronts

Abstract In this paper we have studied the gradual evolution of stationary formations in electron acoustic waves at a finite temperature quantum plasma. We have made use of Quantum hydrodynamics model equations and obtained the KdV-Burgers equation. From here we showed how the amplitude modulated solitons evolve from double layer structures through shock fronts and ultimately converging into solitary structures. We have studied the various parametric influences on such stationary structure and also showed how the gradual variations of these parameter affect the transition from one form to another. The results thus obtained will help in the generation and structure of the structures in their respective domain. Much of the experiments on dense plasma will benefit from the parametric study. Further we have studied amplitude modulation followed by a detailed study on chaos.

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