Symmetry breaking and naturalness of parity conservation in weak neutral currents in left- right—symmetric gauge theories

1978 ◽  
Vol 17 (9) ◽  
pp. 2462-2470 ◽  
Author(s):  
R. N. Mohapatra ◽  
Frank E. Paige ◽  
D. P. Sidhu
Keyword(s):  
Symmetry Breaking ◽  
Gauge Theories ◽  
Neutral Currents ◽  
Weak Neutral Currents ◽  
Parity Conservation ◽  
Symmetric Gauge

scholarly journals Symmetry-breaking effects of instantons in parton gauge theories

2021 ◽  
Vol 104 (3) ◽  
Author(s):  
G. Shankar ◽  
Joseph Maciejko
Keyword(s):  
Symmetry Breaking ◽  
Gauge Theories

scholarly journals Symmetry breaking at high temperatures in large N gauge theories

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Soumyadeep Chaudhuri ◽  
Eliezer Rabinovici
Keyword(s):  
Fixed Point ◽  
Phase Transitions ◽  
Symmetry Breaking ◽  
High Temperatures ◽  
Gauge Theories ◽  
Scalar Fields ◽  
Temperature Limit ◽  
Spontaneous Breaking ◽  
Critical Temperatures ◽  
Weakly Coupled

Abstract Considering marginally relevant and relevant deformations of the weakly coupled (3 + 1)-dimensional large N conformal gauge theories introduced in [1], we study the patterns of phase transitions in these systems that lead to a symmetry-broken phase in the high temperature limit. These deformations involve only the scalar fields in the models. The marginally relevant deformations are obtained by varying certain double trace quartic couplings between the scalar fields. The relevant deformations, on the other hand, are obtained by adding masses to the scalar fields while keeping all the couplings frozen at their fixed point values. At the N → ∞ limit, the RG flows triggered by these deformations approach the aforementioned weakly coupled CFTs in the UV regime. These UV fixed points lie on a conformal manifold with the shape of a circle in the space of couplings. As shown in [1], in certain parameter regimes a subset of points on this manifold exhibits thermal order characterized by the spontaneous breaking of a global ℤ2 or U(1) symmetry and Higgsing of a subset of gauge bosons at all nonzero temperatures. We show that the RG flows triggered by the marginally relevant deformations lead to a weakly coupled IR fixed point which lacks the thermal order. Thus, the systems defined by these RG flows undergo a transition from a disordered phase at low temperatures to an ordered phase at high temperatures. This provides examples of both inverse symmetry breaking and symmetry nonrestoration. For the relevant deformations, we demonstrate that a variety of phase transitions are possible depending on the signs and magnitudes of the squares of the masses added to the scalar fields. Using thermal perturbation theory, we derive the approximate values of the critical temperatures for all these phase transitions. All the results are obtained at the N → ∞ limit. Most of them are found in a reliable weak coupling regime and for others we present qualitative arguments.

On the character of scalar symmetry breaking in gauge theories

1988 ◽  
Vol 213 (2) ◽  
pp. 177-180 ◽  
Author(s):  
V.P. Gusynin ◽  
V.A. Kushnir ◽  
V.A. Miransky
Keyword(s):  
Symmetry Breaking ◽  
Gauge Theories
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