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The gauge symmetries of a general dynamical system can be systematically obtained following either a Hamiltonean or a Lagrangean approach. In the former case, these symmetries are generated, according to Dirac's conjecture, by the first…

High Energy Physics - Theory · Physics 2007-05-23 Heinz J. Rothe , Klaus D. Rothe

The scalar field theory and the scalar electrodynamics quantized in the flat gap are considered. The dynamical effects arising due to the boundary presence with two types of boundary conditions (BC) satisfied by scalar fields are studied.…

High Energy Physics - Theory · Physics 2015-07-27 A. N. Sissakian , O. Yu. Shevchenko , V. N. Samoilov

Selection rules are often considered a hallmark of symmetry. When a symmetry is broken, e.g., by an external perturbation, the system exhibits selection rule deviations which are often analyzed by perturbation theory. Here, we employ…

Optics · Physics 2022-04-06 Matan Even Tzur , Ofer Neufeld , Avner Fleischer , Oren Cohen

A strict positivity of the ground-state energy is a necessary and sufficient condition for spontaneous supersymmetry breaking. This ground-state energy may be directly determined from the expectation value of the Hamiltonian in the…

High Energy Physics - Lattice · Physics 2008-11-26 Issaku Kanamori , Fumihiko Sugino , Hiroshi Suzuki

We study spontaneous symmetry breakings for fermions (spinless and spinful) on a two-dimensional kagome lattice with nearest-neighbor repulsive interactions in weak coupling limit, and focus in particular on topological Mott insulator…

Materials Science · Physics 2010-08-10 Qin Liu , Hong Yao , Tianxing Ma

Spontaneous symmetry breaking (SSB) is key for our understanding of phase transitions and the spontaneous emergence of order. Photonics provide versatile systems to study SSB. In this work, we report that for a two-dimensional (2D) periodic…

Spontaneous symmetry breaking occurs when the symmetry that a physical system possesses, is not preserved for the ground state of the system. Although the procedure of symmetry breaking is quite clear from the mathematical point of view,…

Physics Education · Physics 2007-05-23 A. Acus

Multi-particle non-equilibrium dynamics in two-channel asymmetric exclusion processes with narrow entrances is investigated theoretically. Particles move on two parallel lattices in opposite directions without changing them, while the…

Statistical Mechanics · Physics 2015-06-25 Ekaterina Pronina , Anatoly B. Kolomeisky

The driving forces of chiral active particles and deformations of cells are often modeled by spatially inhomogeneous but temporally periodic driving forces. Such inhomogeneous oscillatory driving forces have only recently been proposed in…

Statistical Mechanics · Physics 2024-09-04 Harukuni Ikeda , Yuta Kuroda

In this work, we present evidence for the spontaneous breaking of a continuous symmetry in a nearest-neighbour interacting spin-1 chain tuned to a quantum critical point at $T=0$ between two XY quasi-long-range order phases differing by the…

Statistical Mechanics · Physics 2025-11-18 R. Flores-Calderón , M. Zündel

The paper combines two topics belonging to the general theme of the spontaneous symmetry breaking (SSB) in systems including two basic competing ingredients: the self-focusing cubic nonlinearity and a double-well-potential (DWP) structure.…

Pattern Formation and Solitons · Physics 2015-11-30 Boris A. Malomed

We study spontaneous symmetry breaking in a one-dimensional driven two-species stochastic cellular automaton with parallel sublattice update and open boundaries. The dynamics are symmetric with respect to interchange of particles. Starting…

Statistical Mechanics · Physics 2009-11-11 Stefan Grosskinsky , Gunter M. Schutz , Richard D. Willmann

We extend effective field theory to the case of spontaneous symmetry breaking in genuinely finite quantum systems such as small superfluid systems, molecules or atomic nuclei, and focus on deformed nuclei. In finite superfluids, symmetry…

Nuclear Theory · Physics 2014-02-04 T. Papenbrock , H. A. Weidenmueller

We consider free higher derivative theories of scalars and Dirac fermions in the presence of a boundary in general dimension. We establish a method for finding consistent conformal boundary conditions in these theories by removing certain…

High Energy Physics - Theory · Physics 2023-05-10 Adam Chalabi , Christopher P. Herzog , Krishnendu Ray , Brandon Robinson , Jacopo Sisti , Andreas Stergiou

We discuss the well-known phenomenon of spontaneous symmetry breaking for a linear sigma model for scalar and pseudoscalar mesons based on the meson composite structure and the normalization of the quantum states. To test our formulation…

High Energy Physics - Phenomenology · Physics 2016-07-06 Amir H. Fariborz , Renata Jora

We review the usual account of the phenomena of spontaneous symmetry breaking (SSB), pointing out the common misunderstandings surrounding the issue, in particular within the context of quantum field theory. In fact, the common explanations…

General Physics · Physics 2015-05-13 Alejandro Perez , Daniel Sudarsky

Spontaneous symmetry breaking is studied in the ultralocal limit of a scalar quantum field theory, that is when $E\approx m$ (or infrared limit). In this limit we show that a $ \varphi^4$ theory in the euclidean space in four-dimensions…

High Energy Physics - Theory · Physics 2021-07-13 Jorge Gamboa , Justo Lopez-Sarrion

We show how the widely used concept of spontaneous symmetry breaking can be explained in causal perturbation theory by introducing a perturbative version of quantum gauge invariance. Perturbative gauge invariance, formulated exclusively by…

High Energy Physics - Theory · Physics 2008-11-26 Andreas Aste , Michael D"utsch , G"unter Scharf

The spontaneous symmetry breaking (and Higgs) mechanism in the theory quantized on the light-front ({\it l.f.}), in the {\it discretized formulation}, is discussed. The infinite volume limit is taken to obtain the {\it continuum version}.…

High Energy Physics - Theory · Physics 2007-05-23 Prem P. Srivastava

Many theories of physical interest, which admit a Hamiltonian description, exhibit symmetries under a particular class of non - strictly canonical transformation, known as dynamical similarities. The presence of such symmetries allows a…

Mathematical Physics · Physics 2025-12-17 Callum Bell , David Sloan