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Effects of soft breaking in N=1 supersymmetric gauge theories are studied. For N_f < N_c, we include the dynamics of the non-perturbative superpotential and use the original (s)quark and gauge fields. For N_f > N_c +1, we formulate the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Eric D'Hoker , Yukihiro Mimura , Norisuke Sakai

In these lectures, I discuss the role of symmetries in particle physics. I begin by discussing global symmetries and show that they can be realized differently in nature, depending on whether or not the vacuum state is left invariant by the…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. D. Peccei

We study dynamical gauge symmetry breaking via compactified space in the framework of SU(N) gauge theory in M^{d-1}\times S^1 (d=4,5,6) space-time. In particular, we study in detail the gauge symmetry breaking in SU(2) and SU(3) gauge…

High Energy Physics - Theory · Physics 2008-11-26 Hisaki Hatanaka

We analyse descriptions of electroweak symmetry breaking in terms of ultralocal antisymmetric tensor fields and gauge-singlet geometric variables, respectively; in particular, the Weinberg--Salam model and, ultimately, dynamical electroweak…

High Energy Physics - Theory · Physics 2014-11-18 Dennis D. Dietrich

Symmetry Breaking is used as an "underlying principle", bringing different features of QFT to the foreground. However, the understanding of Symmetry Breaking that is used here is quite different from what is done in the mainstream: Symmetry…

High Energy Physics - Theory · Physics 2009-04-16 D. D. Ferrante

The issue of symmetry and symmetry breaking is fundamental in all areas of science. Symmetry is often assimilated to order and beauty while symmetry breaking is the source of many interesting phenomena such as phase transitions,…

Analysis of PDEs · Mathematics 2017-12-01 Jean Dolbeault , Maria J. Esteban , Michael Loss , Maria Esteban

Most phenomenologically acceptable supersymmetric models imply breaking of supersymmetry in a separate sector of fields introduced just for this purpose. Supersymmetry breaking is transferred to the Standard Model due to a certain…

High Energy Physics - Phenomenology · Physics 2010-12-17 S. L. Dubovsky , D. S. Gorbunov , S. V. Troitsky

A spontaneous symmetry breaking mechanism is used in quantum gravity to obtain a convergent positive definite density-matrix as the most general quantum state of Euclidean wormholes

General Relativity and Quantum Cosmology · Physics 2011-04-20 Pedro F. Gonzalez-Diaz

We relate here the vacuum structure of chiral symmetry breaking to a wide class of low energy hadronic properties to examine consistency with experimental results. Phase transition of chiral symmetry breaking is described through explicit…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. P. Misra

We analyze approaches to the partial or complete unification of gauge symmetries in theories with dynamical symmetry breaking. Several types of models are considered, including those that (i) involve sufficient unification to quantize…

High Energy Physics - Phenomenology · Physics 2009-11-11 Neil D. Christensen , Robert Shrock

Symmetry breaking in two-dimensional layered materials plays a significant role in their macroscopic electrical, optical, magnetic and topological properties, including but not limited to spin-polarization effects, valley-contrasting…

Mesoscale and Nanoscale Physics · Physics 2021-03-09 Luojun Du , Tawfique Hasan , Andres Castellanos-Gomez , Gui-Bin Liu , Yugui Yao , Chun Ning Lau , Zhipei Sun

We introduce a $N=1$ supergravity model with a very simple hidden sector coupled to the electroweak gauge and Higgs sectors of the MSSM. At the classical level, supersymmetry and $SU(2)\times U(1)$ are both spontaneously broken, with…

High Energy Physics - Theory · Physics 2014-07-16 Hui Luo , Fabio Zwirner

Using techniques of algorithmic algebraic geometry, we present a new and efficient method for explicitly computing the vacuum space of N=1 gauge theories. We emphasize the importance of finding special geometric properties of these spaces…

High Energy Physics - Theory · Physics 2008-11-26 James Gray , Yang-Hui He , Vishnu Jejjala , Brent D. Nelson

In this paper we investigate the problem of spontaneous supersymmetry breaking without a cosmological term in $N=3$ supergravity with matter vector multiplets, scalar fields geometry being $SU(3,m)/SU(3)\otimes SU(m)\otimes U(1)$. At first,…

High Energy Physics - Theory · Physics 2007-05-23 V. A. Tsokur , Yu. M. Zinoviev

Explicit supersymmetry breaking is studied in higher dimensional theories by having boundaries respect only a subgroup of the bulk symmetry. If the boundary symmetry is the maximal subgroup allowed by the boundary conditions imposed on the…

High Energy Physics - Theory · Physics 2009-09-29 Lawrence J. Hall , Yasunori Nomura , Takemichi Okui , Steven J. Oliver

In this paper we study dynamical supersymmetry breaking in absence of gravity with the matter content of the minimal supersymmetric standard model. The hidden sector of the theory is a strongly coupled gauge theory, realized in terms of…

High Energy Physics - Theory · Physics 2010-11-11 F. Fucito , A. Lionetto , J. F. Morales , R. Richter

Vacuum structure of a quantum field theory is a crucial property. In theories with extended symmetries, such as supersymmetric gauge theories, the vacuum is typically a continuous manifold, called the vacuum moduli space, parametrized by…

High Energy Physics - Theory · Physics 2025-06-18 Yang-Hui He , Vishnu Jejjala , Brent D. Nelson , Hal Schenck , Michael Stillman

We describe one of the remarkable problems of theoretical physics persevering up to the beginning of the millennium. All gaugetheories with spontaneous gauge symmetry breaking from the standard model of particle physics with the electroweak…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. Pisano , N. O. Reis

Gauge symmetries play a central role, both in the mathematical foundations as well as the conceptual construction of modern (particle) physics theories. However, it is yet unclear whether they form a necessary component of theories, or…

History and Philosophy of Physics · Physics 2024-10-18 Philipp Berghofer , Jordan François , Simon Friederich , Henrique Gomes , Guy Hetzroni , Axel Maas , René Sondenheimer

For the description of observables and states of a quantum system, it may be convenient to use a canonical Weyl algebra of which only a subalgebra $\mathcal A$, with a non-trivial center $\mathcal Z$, describes observables, the other Weyl…

Mathematical Physics · Physics 2015-11-06 Carlo Heissenberg , Franco Strocchi