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We consider dynamics of a scalar field in compactification scenario of Einstein-Gauss-Bonnet cosmology. It is shown that if the field is non-minimally coupled to curvature, its asymptotic value under certain conditions may be shifted from…

General Relativity and Quantum Cosmology · Physics 2024-09-27 Dmitry Chirkov , Alex Giacomini , Alexey Toporensky , Petr Tretyakov

Spontaneous symmetry breaking is central to our understanding of physics and explains many natural phenomena, from cosmic scales to subatomic particles. Its use for applications requires devices with a high level of symmetry, but engineered…

We examine symmetry breaking in field theory within the framework of derived geometry, as applied to field theory via the Batalin-Vilkovisky formalism. Our emphasis is on the standard examples of Ginzburg-Landau and Yang-Mills-Higgs…

Mathematical Physics · Physics 2025-06-19 Chris Elliott , Owen Gwilliam

Here we first present an alternative formulation of the Lewis & Riesenfeld theorem for solving the Schr\"odinger equation with nonautonomous Hermitian and pseudo-Hermitian Hamiltonians. We then employ this framework to characterize the…

Quantum Physics · Physics 2026-05-27 L. F. Alves da Silva , M. H. Y. Moussa

The gauge symmetry of the Ginzburg-Landau theory for two-gap superconductors is analyzed in this letter. We argue that the existence of two different phases, associated with the two independent scalar Higgs fields, explicitly breaks the…

Superconductivity · Physics 2014-08-11 Miguel C. N. Fiolhais , Joseph L. Birman

The spontaneous symmetry breaking of rotational O(N) symmetry in noncommutative field theory is investigated in a 2+1 dimensional model of scalar fields coupled through a combination of quartic and sextuple self-interactions. There are five…

High Energy Physics - Theory · Physics 2009-11-07 H. O. Girotti , M. Gomes , A. Yu. Petrov , V. O. Rivelles , A. J. da Silva

We explore the possibility of spontaneous CP violation within the Next to Minimal Supersymmetric Standard Model. In the most general form of the model, without a discrete $Z_3$ symmetry, we find that even at tree level spontaneous CP…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. T. Davies , C. D. Froggatt , A. Usai

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

Creation and manipulation of non-classical states of light is rapidly becoming the focus of modern attosecond science. Here, we demonstrate numerically how interaction with such states can trigger the emergence of a many-body system with…

Quantum Physics · Physics 2026-05-15 Nikolai D. Klimkin , Misha Ivanov

Gauge theory defined on the orbifold $M^4 \times (S^1/Z_2)$ is investigated from the viewpoint of the Hosotani mechanism. Rearrangement of gauge symmetry takes place due to the dynamics of Wilson line phases. The physical symmetry of the…

High Energy Physics - Phenomenology · Physics 2012-01-16 Naoyuki Haba , Masatomi Harada , Yutaka Hosotani , Yoshiharu Kawamura

We consider the homogeneous Bose gas in the three-dimensional unit torus, where $N$ particles interact via a two-body potential of the form $N^{-1} v(x)$. The system is studied at inverse temperatures of order $N^{-2/3}$, which corresponds…

Mathematical Physics · Physics 2025-07-29 Andreas Deuchert , Phan Thanh Nam , Marcin Napiorkowski

In this paper we introduce a one-dimensional model of coupled fractional nonlinear Schr\"odinger equations with a double-well potential applied to one component. This study examines ground state (GS) solitons, observing spontaneous symmetry…

Pattern Formation and Solitons · Physics 2024-10-29 Mateus C. P. dos Santos , Wesley B. Cardoso

This paper aims to resolve the incompatibility between two extant gauge-invariant accounts of the Abelian Higgs mechanism: the first account uses global gauge symmetry breaking, and the second eliminates spontaneous symmetry breaking…

History and Philosophy of Physics · Physics 2025-11-19 Silvester Borsboom , Sebastian De Haro

Spontaneous symmetry breaking is related to the appearance of emergent phenomena, while a non-vanishing order parameter has been viewed as the sign of turning into such symmetry breaking phase. Recently, we have proposed a continuous…

Quantum Physics · Physics 2017-11-22 G. H. Dong , Y. N. Fang , C. P. Sun

In this paper we consider the Spontaneous Symmetry Breaking Mechanism (SSBM) in the Standard Model of particles in the unitary gauge. We show that the computation usually presented of this mechanism can be conveniently performed in a…

High Energy Physics - Theory · Physics 2010-01-11 Thierry Masson , Jean-Christophe Wallet

The requirement for the absence of spontaneous symmetry breaking in the d=1 dimension has been used to optimize the regulator dependence of functional renormalization group equations in the framework of the sine-Gordon scalar field theory.…

High Energy Physics - Theory · Physics 2014-02-28 I. Nandori , I. G. Marian , V. Bacso

New proves of decoupling of massive fields in several quantum field theories are derived in the effective Lagrangian approach based on Wilson renormalization group. In the most interesting case of gauge theories with spontaneous symmetry…

High Energy Physics - Theory · Physics 2009-10-28 L. Girardello , A. Zaffaroni

We study the renormalization of the nonlinear effective SU(2) Lagrangian up to $O(p^4)$ with spontaneous symmetry breaking. The Stueckelberg transformation, the background field gauge, the Schwinger proper time and heat kernel method, and…

High Energy Physics - Phenomenology · Physics 2009-11-07 Qi-Shu Yan , Dong-Sheng Du

In a previous paper (hep-th/0407256) local scalar QFT (in Weyl algebraic approach) has been constructed on degenerate semi-Riemannian manifolds $\bS^1\times \Sigma$ corresponding to the extension of Killing horizons by adding points at…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Valter Moretti

The concepts of symmetry and its breakdown are investigated in two different terms according to whether the resulting asymmetry is universal or only obtained for a special configuration: we shall illustrate this by considering in the first…

General Physics · Physics 2022-03-23 Luca Fabbri