Spontaneous symmetry breaking in local gauge quantum field theory; the Higgs mechanism

We have developed a quantum field theory of spinors based on the algebra of canonical anticommutation relations (CAR algebra) of Grassmann densities in the momentum space. We have proven the existence of two spinor vacua. Operators C and T transform the normal vacuum into an alternative one, which leads to the breaking of the C and T symmetries. The CPT is the real structure operator; it preserves the normal vacuum. We have proven that, in the theory of the Dirac Sea, the formula for the charge conjugation operator must contain an additional generalized Dirac conjugation operator.

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NONLINEAR PHENOMENA IN CANONICAL STOCHASTIC QUANTIZATION

International Journal of Bifurcation and Chaos ◽

10.1142/s0218127408022019 ◽

2008 ◽

Vol 18 (09) ◽

pp. 2787-2791

Author(s):

HELMUTH HÜFFEL

Keyword(s):

Field Theory ◽

Quantum Field Theory ◽

Gauge Field Theories ◽

Higgs Mechanism ◽

Nonlinear Phenomena ◽

Quantum Field ◽

Stochastic Quantization ◽

Statistical System ◽

Equilibrium Limit ◽

Euclidean Quantum Field Theory

Stochastic quantization provides a connection between quantum field theory and statistical mechanics, with applications especially in gauge field theories. Euclidean quantum field theory is viewed as the equilibrium limit of a statistical system coupled to a thermal reservoir. Nonlinear phenomena in stochastic quantization arise when employing nonlinear Brownian motion as an underlying stochastic process. We discuss a novel formulation of the Higgs mechanism in QED.

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The Higgs impact on Einstein’s gravity: The Einstein–Kraichnan quantum gravity

International Journal of Modern Physics A ◽

10.1142/s0217751x20400126 ◽

2020 ◽

Vol 35 (02n03) ◽

pp. 2040012

Author(s):

M. D. Maia ◽

V. B. Bezerra

Keyword(s):

Field Theory ◽

Quantum Field Theory ◽

Standard Model ◽

Quantum Gravity ◽

Higgs Mechanism ◽

Quantum Field ◽

Einstein’S Equations ◽

Einstein's Equations ◽

Fundamental Interactions ◽

The Standard Model

An updated review of Kraichnan’s derivation of Einstein’s equations from quantum field theory is presented, including the period after the discovery of the Higgs mechanism and the inclusion of gravitation within the Standard Model of Fundamental Interactions.

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Einstein gravity as a symmetry-breaking effect in quantum field theory

Reviews of Modern Physics ◽

10.1103/revmodphys.54.729 ◽

1982 ◽

Vol 54 (3) ◽

pp. 729-766 ◽

Cited By ~ 491

Author(s):

Stephen L. Adler

Keyword(s):

Field Theory ◽

Quantum Field Theory ◽

Symmetry Breaking ◽

Einstein Gravity ◽

Quantum Field ◽

Breaking Effect

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Stem Cell Differentiation Stage Factors and their Role in Triggering Symmetry Breaking Processes during Cancer Development: A Quantum Field Theory Model for Reprogramming Cancer Cells to Healthy Phenotypes

Current Medicinal Chemistry ◽

10.2174/0929867324666170920142609 ◽

2019 ◽

Vol 26 (6) ◽

pp. 988-1001 ◽

Cited By ~ 1

Author(s):

P.M. Biava ◽

F. Burigana ◽

R. Germano ◽

P. Kurian ◽

C. Verzegnassi ◽

...

Keyword(s):

Field Theory ◽

Quantum Field Theory ◽

Stem Cell ◽

Cell Differentiation ◽

Symmetry Breaking ◽

Cancer Cells ◽

Stem Cell Differentiation ◽

Cancer Development ◽

Quantum Field ◽

Differentiation Stage

A long history of research has pursued the use of embryonic factors isolated during cell differentiation processes for the express purpose of transforming cancer cells back to healthy phenotypes. Recent results have clarified that the substances present at different stages of cell differentiation—which we call stem cell differentiation stage factors (SCDSFs)—are proteins with low molecular weight and nucleic acids that regulate genomic expression. The present review summarizes how these substances, taken at different stages of cellular maturation, are able to retard proliferation of many human tumor cell lines and thereby reprogram cancer cells to healthy phenotypes. The model presented here is a quantum field theory (QFT) model in which SCDSFs are able to trigger symmetry breaking processes during cancer development. These symmetry breaking processes, which lie at the root of many phenomena in elementary particle physics and condensed matter physics, govern the phase transitions of totipotent cells to higher degrees of diversity and order, resulting in cell differentiation. In cancers, which share many genomic and metabolic similarities with embryonic stem cells, stimulated redifferentiation often signifies the phenotypic reversion back to health and nonproliferation. In addition to acting on key components of the cellular cycle, SCDSFs are able to reprogram cancer cells by delicately influencing the cancer microenvironment, modulating the electrochemistry and thus the collective electrodynamic behaviors between dipole networks in biomacromolecules and the interstitial water field. Coherent effects in biological water, which are derived from a dissipative QFT framework, may offer new diagnostic and therapeutic targets at a systemic level, before tumor instantiation occurs in specific tissues or organs. Thus, by including the environment as an essential component of our model, we may push the prevailing paradigm of mutation-driven oncogenesis toward a closer description of reality.

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