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Chiral Symmetry Breaking in Quantum Field Theory [PDF]
An analysis of the spontaneous breaking of chiral symmetry in three dimensional electrodynamics is described. It is argued that this model, when treated in a 1/ N expansion, does exhibit spontaneous chiral symmetry breaking. This is established by finding analytic and numer· ical solutions to the Dyson-Schwinger equation and then computing the ...
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An introduction to spontaneous symmetry breaking
Perhaps the most important aspect of symmetry in physics is the idea that a state does not need to have the same symmetries as the theory that describes it. This phenomenon is known as spontaneous symmetry breaking.
Aron J. Beekman, Louk Rademaker, Jasper van Wezel
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Spontaneous conformal symmetry breaking in fishnet CFT
Quantum field theories with exact but spontaneously broken conformal invariance have an intriguing feature: their vacuum energy (cosmological constant) is equal to zero. Up to now, the only known ultraviolet complete theories where conformal symmetry can
Georgios K. Karananas +2 more
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T and C Symmetry Breaking in Algebraic Quantum Field Theory [PDF]
We have developed a quantum field theory of spinors based on the algebra of canonical anticommutation relations (CAR algebra). The proposed approach is based on the use of Grassmann densities in the momentum space and their derivatives with respect to the construction from these densities of both basis Clifford vectors of spacetime and the spinor ...
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Momentum relaxation of holographic Weyl semimetal from massive gravity
We consider the effects of momentum relaxation on the topological quantum phase transitions in holographic Weyl semimetals. The translational symmetry breaking in the field theory is realized in the framework of massive gravity.
Junkun Zhao
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Grand unification and the Planck scale: an SO(10) example of radiative symmetry breaking
Grand unification of gauge couplings and fermionic representations remains an appealing proposal to explain the seemingly coincidental structure of the Standard Model. However, to realise the Standard Model at low energies, the unified symmetry group has
Aaron Held, Jan Kwapisz, Lohan Sartore
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Probabilistic cellular automata for interacting fermionic quantum field theories
A classical local cellular automaton can describe an interacting quantum field theory for fermions. We construct a simple classical automaton for a particular version of the Thirring model with imaginary coupling. This interacting fermionic quantum field
C. Wetterich
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Gravitational Coleman-Weinberg mechanism
The Coleman-Weinberg mechanism provides a procedure by which a scalar field, which initially has no mass parameters, acquires a mass due to the anomalous nature of scale symmetry.
Clara Álvarez-Luna +3 more
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Spontaneous symmetry breaking in tensor theories
In this work we study spontaneous symmetry breaking patterns in tensor models. We focus on the patterns which lead to effective matrix theories transforming in the adjoint of U(N).
P. Diaz, J. A. Rosabal
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Torsional deformation of nonrelativistic string theory
Nonrelativistic string theory is a self-contained corner of string theory, with its string spectrum enjoying a Galilean-invariant dispersion relation. This theory is unitary and ultraviolet complete, and can be studied from first principles.
Ziqi Yan
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