Algebraic Topology Foundations of Supersymmetry and Symmetry Breaking in Quantum Field Theory and Quantum Gravity: A Review [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 A novel algebraic topology approach to supersymmetry (SUSY) and symmetry breaking in quantum field and quantum gravity theories is presented with a view to developing a wide range of physical applications. These include: controlled nuclear fusion and other nuclear reaction studies in quantum chromodynamics, nonlinear physics at high energy densities ...
Ion C. Băianu
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Vacuum Radiation and Symmetry Breaking in Conformally Invariant Quantum Field Theory [PDF]
Communications in Mathematical Physics, 1999 The underlying reasons for the difficulty of unitarily implementing the whole conformal group $SO(4,2)$ in a massless Quantum Field Theory (QFT) are investigated in this paper. Firstly, we demonstrate that the singular action of the subgroup of special conformal transformations (SCT), on the standard Minkowski space $M$, cannot be primarily associated ...
V. Aldaya, M. Calixto, J. M. Cerveró
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Theory of topological defects and textures in two-dimensional quantum orders with spontaneous symmetry breaking [PDF]
Physical Review BWe consider two-dimensional (2d) quantum many-body systems with long-range orders, where the only gapless excitations in the spectrum are Goldstone modes of spontaneously broken continuous symmetries. To understand the interplay between classical long-range order of local order parameters and quantum order of long-range entanglement in the ground ...
Yanqi Wang, Chunxiao Liu, Yuan-Ming Lu
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Spontaneous symmetry breakings in Z2 gauge theories for doped quantum dimer and eight-vertex models [PDF]
Annals of Physics, 2005 Behavior of doped fermions in $Z_2$ gauge theories for the quantum dimer and eight-vertex models is studied. Fermions carry charge and spin degrees of freedom. In the confinement phase of the $Z_2$ gauge theories, these internal symmetries are spontaneously broken and a superconducting or Ne l state appears.
Ikuo Ichinose, Daisuke Yoshioka
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General theory for discrete symmetry-breaking equilibrium states in quantum systems
Physical Review ESpontaneous symmetry breaking in phase transitions occurs when the system Hamiltonian is symmetric under a certain transformation, but the equilibrium states observed in nature are not. Here we build two noncommuting quantities from the order parameter of the transition and the symmetry operator that are constants of motion when such equilibrium states
Ángel L. Corps, A. Relaño
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Symmetry re-breaking in an effective theory of quantum coarsening
We present a simple theory accounting for two central observations in a recent experiment on quantum coarsening and collective dynamics on a programmable quantum simulator [T. Manovitz et al., Nature 638, 86 (2025)]: an apparent speeding up of the coarsening process as the phase transition is approached; and persistent oscillations of the order ...
Roderich Moessner
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Non-equilibrium dynamics of symmetry breaking and gauge fields in quantum field theory
, 2000 Die vorliegende Arbeit beschäftigt sich mit Nichtgleichgewichtssystemen in der Quantenfeldtheorie. Im ersten Teil wird als einfaches Modell die Phi 4 Theorie untersucht. Es werden verschiedene Approximationen im Detail analysiert und verglichen. Es wird gezeigt, dass eine konsistente Renormierung in der oneloop und der largeNApproximation möglich ...
Katrin Heitmann
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New perturbation theory representation of the conformal symmetry breaking effects in gauge quantum field theory models [PDF]
Theoretical and Mathematical Physics, 2012 12 pages, Title modified, abstract modified, improved and extended variant of the talks, presented at Int. Seminar "Quarks-2010" (6-12 June, 2010, Kolomna) and Int. Workshop Hadron Structure and QCD: From Low to High Energies (5-9 July 2010, Gatchina)
A. L. Kataev, S. V. Mikhailov
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Symmetry Breaking in ordinary and supersymmetric Models of Quantum Field Theory
, 2012 This thesis will consider two different theories, and apply variational techniquesto each, in order to investigate their true ground states and the possibility ofsymmetry breaking.A scalar field theory is modified by introducing a variational mass-parameter,which also serves as a regularization.
Peder Notto Galteland
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Mollifying Quantum Field Theory or Lattice QFT in Minkowski Spacetime and Symmetry Breaking [PDF]
, 2006 23 pages, 35 figures; check http://chep.het.brown.edu/ for high resolution figures; referees suggestions and appendix added, references ...
D. D. Ferrante, G. S. Guralnik
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