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We analyze QCD and Weinberg-type sum rules in a low-temperature pion gas using vector and axial-vector spectral functions following from the model-independent chiral-mixing scheme. Toward this end we employ recently constructed vacuum…

High Energy Physics - Phenomenology · Physics 2013-05-02 Nathan P. M. Holt , Paul M. Hohler , Ralf Rapp

Symmetry techniques based on group theory play a prominent role in the analysis of nuclear phenomena, and in particular in the understanding of observed regular patterns in nuclear spectra and selection rules for electromagnetic…

Nuclear Theory · Physics 2023-02-10 J. M. Yao

This is a review of basic ideas and mechanisms encountered in the supersymmetry breaking problem at the global level, in supergravity models, and in superstring theory.

High Energy Physics - Phenomenology · Physics 2007-05-23 T. R. Taylor

It is pointed out that every renormalizable supersymmetric field theory has a symmetry which is hidden in plain sight, but is usually broken by soft terms which obey supersymmetry. On the other hand, the terms which break supersymmetry…

High Energy Physics - Phenomenology · Physics 2023-11-21 Ernest Ma

We study the relationship between the spectral shift function and the excess charge in potential scattering theory. Although these quantities are closely related to each other, they have been often formulated in different settings so far.…

Mathematical Physics · Physics 2012-11-12 Mahito Kohmoto , Tohru Koma , Shu Nakamura

Dynamical supersymmetry breaking is a fascinating theoretical problem. It is also of phenomenological significance. A better understanding of this phenomenon can help in model building, which in turn is useful in guiding the search for…

High Energy Physics - Theory · Physics 2009-10-31 Erich Poppitz , Sandip P. Trivedi

Dynamical supersymmetry breaking is an important issue for applications of supersymmetry in particle physics. The functional renormalization group equations allow for a nonperturbative approach that leaves supersymmetry intact. Therefore…

High Energy Physics - Theory · Physics 2015-05-14 Franziska Synatschke , Holger Gies , Andreas Wipf

We derive spectral sum rules for inverse powers of the eigenvalues of the Helmholtz equation on a $d$-sphere in the presence of an arbitrary density. By adopting a rigorous renormalization scheme, we remove the divergent contributions of…

Mathematical Physics · Physics 2026-04-02 Paolo Amore

Supersymmetry is one of the most plausible and theoretically motivated frameworks for extending the Standard Model. However, any supersymmetry in Nature must be a broken symmetry. Dynamical supersymmetry breaking (DSB) is an attractive idea…

High Energy Physics - Theory · Physics 2008-11-26 Yael Shadmi , Yuri Shirman

We propose a new type of symmetry breaking mechanism that takes boundaries into account, and show how it can detect surface modes by interpreting them as the order parameter associated with a generalized symmetry breaking. We argue that…

Materials Science · Physics 2020-11-24 Sinéad M. Griffin , Michele Schiavina

We present a bottom-up approach to the question of supersymmetry breaking in the MSSM. Starting with the experimentally measurable low energy supersymmetry breaking parameters which can take any values consistent with present experimental…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Olechowski

In this work spontaneous (non-dynamical) breaking (effective hiding) of the unitary quantum mechanical dynamical symmetry (superposition) is considered. It represents an especial but very interesting case of the general formalism of the…

Quantum Physics · Physics 2007-05-23 Vladan Pankovic , Milan Predojevic

We show how spectral functions for quantum impurity models can be calculated very accurately using a complete set of ``discarded'' numerical renormalization group eigenstates, recently introduced by Anders and Schiller. The only…

Strongly Correlated Electrons · Physics 2009-11-11 Andreas Weichselbaum , Jan von Delft

Some formal aspects of supersymmetry breaking are reviewed. The classic "requirements" for supersymmetry breaking include chiral matter, a dynamical superpotential, and a classical superpotential which completely lifts the moduli space.…

High Energy Physics - Theory · Physics 2007-05-23 Scott Thomas

A new mechanism for symmetry breaking is proposed which naturally avoids the constraints following from the usual theorems of symmetry breaking. In the context of super-symmetry, for example, the breaking may be consistent with a vanishing…

High Energy Physics - Theory · Physics 2009-10-30 Ashok Das , Sergio A. Pernice

We consider supersymmetry breaking models with a purely constant superpotential in supergravity. The supersymmetry breaking is induced for the vanishing cosmological constant. As a hidden mediation sector of supersymmetry breaking, it…

High Energy Physics - Phenomenology · Physics 2011-05-09 K. -I. Izawa , T. Kugo , T. T. Yanagida

Dynamical supersymmetry breaking is considered in models which admit descriptions in terms of electric, confined, or magnetic degrees of freedom in various limits. In this way, a variety of seemingly different theories which break…

High Energy Physics - Theory · Physics 2007-05-23 Kenneth Intriligator , Scott Thomas

Supersymmetric non--linear $\gs$--models in four dimensions with a $D$--term potentials can sometimes have singular kinetic metric terms. As the kinetic terms of scalar fields and their chiral fermionic partners are determine by this…

High Energy Physics - Phenomenology · Physics 2010-04-05 T. S. Nyawelo

We discuss the prospect of studying physics at short distances, such as Planck length or GUT scale, using supersymmetry as a probe. Supersymmetry breaking parameters contain information on all physics below the scale where they are induced.…

High Energy Physics - Phenomenology · Physics 2016-11-03 Hitoshi Murayama

We study a generalization of anomaly-mediated supersymmetry breaking (AMSB) scenarios, under the assumption that the effects of the high-scale theory do not completely decouple and D-term type contributions can be therefore present. We…

High Energy Physics - Phenomenology · Physics 2008-11-26 Marcela Carena , Katri Huitu , Tatsuo Kobayashi