scholarly journals Lattice (? 4)4 effective potential giving spontaneous symmetry breaking and the role of the Higgs mass

1995 ◽  
Vol 66 (3) ◽  
pp. 439-451 ◽  
Author(s):  
A. Agodi ◽  
G. Andronico ◽  
M. Consoli
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Effective Potential ◽  
Higgs Mass

scholarly journals HIGGS MASS FROM A CASIMIR ENERGY INDUCED COSMOLOGICAL CONSTANT IN THE STANDARD MODEL

2004 ◽  
Vol 19 (13n16) ◽  
pp. 1195-1201
Author(s):  
XIAO-GANG HE
Keyword(s):  
Standard Model ◽  
Symmetry Breaking ◽  
Cosmological Constant ◽  
Spontaneous Symmetry Breaking ◽  
Particle Physics ◽  
Higgs Mass ◽  
Vacuum Energy ◽  
Casimir Energy ◽  
Renormalization Scale ◽  
The Standard Model

Casimir vacuum energy is divergent. It needs to be regularized. The regularization introduces a renormalization scale which may lead to a scale dependent cosmological constant. We show that the requirement of physical cosmological constant is renormalization scale independent provides important constraints on possible particle contents and their masses in particle physics models. In the Standard Model of strong and electroweak interactions, besides the Casimir vacuum energy there is also vacuum energy induced from spontaneous symmetry breaking. The requirement that the total vacuum energy to be scale independent dictates the Higgs mass to be [Formula: see text] where the summation is over fermions and Ni equals to 3 and 1 for quarks and leptons, respectively. The Higgs mass is predicted to be approximately 382 GeV.

Self-Organization of Symmetry Networks: Transformation Invariance from the Spontaneous Symmetry-Breaking Mechanism

2000 ◽  
Vol 12 (3) ◽  
pp. 565-596 ◽  
Author(s):  
Chris J. S. Webber
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Receptive Fields ◽  
Learning Rule ◽  
Image Data ◽  
Simple Cell ◽  
Natural Image ◽  
Complex Cell ◽  
Breaking Mechanism

Symmetry networks use permutation symmetries among synaptic weights to achieve transformation-invariant response. This article proposes a generic mechanism by which such symmetries can develop during unsupervised adaptation: it is shown analytically that spontaneous symmetry breaking can result in the discovery of unknown invariances of the data's probability distribution. It is proposed that a role of sparse coding is to facilitate the discovery of statistical invariances by this mechanism. It is demonstrated that the statistical dependences that exist between simple-cell-like threshold feature detectors, when exposed to temporally uncorrelated natural image data, can drive the development of complex-cell-like invariances, via single-cell Hebbian adaptation. A single learning rule can generate both simple-cell-like and complex-cell-like receptive fields.

scholarly journals Raising the SUSY-breaking scale in a Goldstone–Higgs model

2017 ◽  
Vol 32 (27) ◽  
pp. 1750143 ◽  
Author(s):  
Tommi Alanne ◽  
Heidi Rzehak ◽  
Francesco Sannino ◽  
Anders Eller Thomsen
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Supersymmetry Breaking ◽  
Goldstone Boson ◽  
Higgs Sector ◽  
Global Symmetry ◽  
Electroweak Sector ◽  
Chiral Superfield ◽  
Breaking Scale

We show that by combining the elementary Goldstone–Higgs scenario and supersymmetry it is possible to raise the scale of supersymmetry breaking to several TeVs by relating it to the spontaneous-symmetry-breaking one. This is achieved by first enhancing the global symmetries of the super-Higgs sector to SU(4) and then embedding the electroweak sector and the Standard Model (SM) fermions. We determine the conditions under which the model achieves a vacuum such that the resulting Higgs is a pseudo-Goldstone boson (pGB). The main results are: the supersymmetry-breaking scale is identified with the spontaneous-symmetry-breaking scale of SU(4) which is several TeVs above the radiatively induced electroweak scale; intriguingly the global symmetry of the Higgs sector predicts the existence of two super-Higgs multiplets with one mass eigenstate playing the role of the pseudo-Goldstone Higgs; the symmetry-breaking dynamics fixes [Formula: see text] and requires a supplementary singlet chiral superfield. We finally discuss the spectrum of the model that now features the superpartners of the SM fermions and gauge bosons in the multi-TeV range.

scholarly journals THE HISTORY OF THE GURALNIK, HAGEN AND KIBBLE DEVELOPMENT OF THE THEORY OF SPONTANEOUS SYMMETRY BREAKING AND GAUGE PARTICLES

2009 ◽  
Vol 24 (14) ◽  
pp. 2601-2627 ◽  
Author(s):  
GERALD S. GURALNIK
Keyword(s):  
Field Theory ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Solution Space ◽  
Quantum Field ◽  
Historical Material ◽  
Intrinsic Nonlinearity ◽  
History Of ◽  
Do So

I discuss historical material about the beginning of the ideas of spontaneous symmetry breaking and particularly the role of the paper by Guralnik, Hagen and Kibble in this development. I do so adding a touch of some more modern ideas about the extended solution-space of quantum field theory resulting from the intrinsic nonlinearity of nontrivial interactions.

ON THE ROLE OF THE WEAK INTERACTION IN THE PROCESS OF NUCLEAR FISSION

2006 ◽  
Vol 15 (02) ◽  
pp. 393-404
Author(s):  
KLAUS DIETRICH
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Weak Interaction ◽  
Nuclear Fission ◽  
Low Energy ◽  
Time Dependent ◽  
Parity Doublet ◽  
Microscopic Description ◽  
Enhancement Mechanism

We investigate the effect of the parity-violating weak interaction in the process of n-induced low-energy fission within a time-dependent microscopic description. We display two different mechanisms of enhancement: a) the well-known enhancement due to the chaotic complexity of compound nuclear states and the concomitant high density of levels, b) an additional dynamical enhancement which arises whenever the substates of a parity doublet cross as a function of the intrinsic octupole moment Q30 on the way to fission. In the last section we discuss other examples of this additional enhancement mechanism which is due to a spontaneous symmetry breaking.

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