QUANTUM STATE AND SPONTANEOUS SYMMETRY BREAKING IN GRAVITY

1994 ◽  
Vol 03 (01) ◽  
pp. 191-194
Author(s):  
PEDRO F. GONZALEZ-DIAZ
Keyword(s):  
Quantum Gravity ◽  
Symmetry Breaking ◽  
Density Matrix ◽  
Spontaneous Symmetry Breaking ◽  
Quantum State ◽  
Positive Definite ◽  
General Quantum ◽  
Breaking Mechanism ◽  
Euclidean Wormholes

A spontaneous symmetry breaking mechanism is used in quantum gravity to obtain a convergent positive definite density-matrix as the most general quantum state of Euclidean wormholes.

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).

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 ANOMALOUS FERMION MASS GENERATION AT THREE LOOPS

2013 ◽  
Vol 28 (22) ◽  
pp. 1350083 ◽  
Author(s):  
APOSTOLOS PILAFTSIS
Keyword(s):  
Gauge Theory ◽  
Quantum Gravity ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Model Building ◽  
Heavy Fermions ◽  
Fermion Mass ◽  
Mass Generation ◽  
Fermion Masses ◽  
Gravity Effects

We present a novel mechanism for generating fermion masses through global anomalies at the three-loop level. In a gauge theory, global anomalies are triggered by the possible existence of scalar or pseudoscalar states and heavy fermions, whose masses may not necessarily result from spontaneous symmetry breaking. The implications of this mass-generating mechanism for model building are discussed, including the possibility of creating low-scale fermion masses by quantum gravity effects.

scholarly journals Supersymmetric Mirror Models and Dimensional Evolution of Spacetime

2020 ◽  
Author(s):  
Wanpeng Tan
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Mirror Symmetry ◽  
Big Bang ◽  
Supersymmetric Model ◽  
Time Dimension ◽  
Electroweak Phase Transition ◽  
Dynamic View ◽  
Breaking Mechanism ◽  
Double Space

A dynamic view is conjectured for not only the universe but also the underlying theories in contrast to the convectional pursuance of single unification theory. As the 4 -d spacetime evolves dimension by dimension via the spontaneous symmetry breaking mechanism, supersymmetric mirror models consistently emerge one by one at different energy scales and scenarios involving different sets of particle species and interactions. Starting from random Planck fluctuations, the time dimension and its arrow are born in the time inflation process as the gravitational strength is weakened under a 1-d model of a “timeron” scalar field. The “ timeron” decay then starts the hot big bang and generates Majorana fermions and U(1) gauge bosons in 2-d spacetime. The next spontaneous symmetry breaking results in two space inflaton fields leading to a double space inflation process and emergence of two decoupled sectors of ordinary and mirror particles. In fully extended 4-d spacetime, the supersymmetric standard model with mirror matter before the electroweak phase transition and the subsequent pseudo-supersymmetric model due to staged quark condensation as previously proposed are justified. A set of principles are postulated under t his new framework. In particular, new understanding of the evolving supersymmetry and Z2 or generalized mirror symmetry is presented.

NUCLEAR DEFORMATIONS AS A SPONTANEOUS SYMMETRY BREAKING

1993 ◽  
Vol 02 (supp01) ◽  
pp. 51-69 ◽  
Author(s):  
WITOLD NAZAREWICZ
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Nuclear Physics ◽  
Particle Number ◽  
Building Blocks ◽  
Baryon Number ◽  
Strong Interactions ◽  
Fundamental Symmetries ◽  
Atomic Nuclei ◽  
Breaking Mechanism

Why can certain nuclei be described in terms of intrinsic shapes with non-spherical, triaxial, or reflection-asymmetric static moments? At first glance a violation of very fundamental symmetries such as rotational invariance, space inversion, or particle number symmetry is astonishing since strong interactions do actually conserve angular momentum, parity, and baryon number. The main building blocks of the spontaneous symmetry breaking mechanism in atomic nuclei are discussed and illuminated by examples taken from atomic and nuclear physics.

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