scholarly journals An Extension of Goldstone Theorem to Non-symmetric Hamiltonians

2021 ◽  
pp. 199-202
Author(s):  
Franco Strocchi
Keyword(s):  
Goldstone Theorem

Evading the Goldstone theorem

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

scholarly journals Several Physical Properties of Two Interacting Complex Scalar Fields at Finite Density

2011 ◽  
Vol 21 (1) ◽  
pp. 1
Author(s):  
Tran Huu Phat ◽  
Phan Thi Duyen
Keyword(s):  
Mean Field ◽  
Scalar Fields ◽  
Meissner Effect ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
Goldstone Theorem ◽  
Complex Scalar ◽  
Finite Density ◽  
Chemical Potentials ◽  
The Mean

The two interacting complex scalar fields at finite density is considered in the mean field approximation. It is shown that although the symmetry is spontaneously broken for the chemical potentials bigger than the meson masses in vacuum, but the Goldstone theorem is not preserved in broken phase. Then two mesons are condensed and their condensates turn out to be two-gap superconductor which is signaled by the appearance of the Meissner effect as well as the Abrikosov and non-Abrikosov vortices. Finally, there exhibits domain wall which is the plane, where two condensates flowing in opposite directions collide and generate two types of vortices with cores in the wall.

scholarly journals Spontaneous symmetry breaking and the Goldstone theorem in non-Hermitian field theories

2018 ◽  
Vol 98 (4) ◽  
Author(s):  
Jean Alexandre ◽  
John Ellis ◽  
Peter Millington ◽  
Dries Seynaeve
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Field Theories ◽  
Goldstone Theorem

scholarly journals Euclidean proof of the Goldstone theorem

1967 ◽  
Vol 6 (3) ◽  
pp. 228-232 ◽  
Author(s):  
K. Symanzik
Keyword(s):  
Goldstone Theorem

scholarly journals Evading the Goldstone theorem

2014 ◽  
Vol 526 (5-6) ◽  
pp. 211-213 ◽  
Author(s):  
Peter W. Higgs
Keyword(s):  
Goldstone Theorem

Structures of conserved currents and mass spectra for scalar fields: an approach to the generalization of the Goldstone theorem

1980 ◽  
Vol 58 (4) ◽  
pp. 463-471
Author(s):  
Meiun Shintani
Keyword(s):  
Mass Spectrum ◽  
Scalar Field ◽  
Mass Spectra ◽  
Vacuum State ◽  
Scalar Fields ◽  
Goldstone Theorem ◽  
Massive Mode ◽  
Conserved Current ◽  
Conserved Currents ◽  
A Current

Considering the commutators between a scalar field and a conserved current, we shall clarify the connection between the mass spectrum for a scalar field and the structures of a current. For a special form of currents involving c-number functions, non-invariance of the vacuum under the corresponding transformation entails the existence of a massive mode. It is shown that once a type of currents is specified, the pole structures for [Formula: see text] depend only on c-number parts of Jμ(x). We shall show that the non-vanishing Goldstone commutator does not automatically imply the degeneracy of the vacuum state, and discuss the applicability of the Goldstone theorem.

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