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Supersymmetric (SUSY) transformation operators corresponding to complex factorization constants are analyzed as operators acting in the Hilbert space of functions square integrable on the positive semiaxis. Obtained results are applied to…

Mathematical Physics · Physics 2010-10-27 Boris F. Samsonov

The $SU(N)$ Yang-Mills theory compactified on $\mathbb{R}^3 \times S^1_L$ with small $L$ has many merits, for example the long range effective theory is weakly coupled and adopts rich topological structures, making it semi-classically…

High Energy Physics - Theory · Physics 2025-03-04 Baiyang Zhang , Aditya Dhumuntarao

Wigner and Husimi transforms have long been used for the phase-space reformulation of Schr\"odinger-type equations, and the study of the corresponding semiclassical limits. Most of the existing results provide approximations in appropriate…

Analysis of PDEs · Mathematics 2015-05-19 Agissilaos Athanassoulis , Thierry Paul

The kinematical phase space of classical gravitational field is flat (affine) and unbounded. Because of this, field variables may tend to infinity leading to appearance of singularities, which plague Einstein's theory of gravity. The…

General Relativity and Quantum Cosmology · Physics 2019-08-28 Danilo Artigas Guimarey , Jakub Mielczarek , Carlo Rovelli

We investigate the phase-space of a flat FRW universe including both a scalar field, $\phi,$ coupled to matter, and radiation. The model is inspired in scalar-tensor theories of gravity, and thus, related with $F(R)$ theories through…

General Relativity and Quantum Cosmology · Physics 2010-09-06 Genly Leon , Pavel Silveira , Carlos R. Fadragas

We review the theoretical and experimental status of minimal grand unified theories (GUTS), contrasting the failure of minimal non-supersymmetric $SU(5)$ with the success of the minimal supersymmetric $SU(5)$ and minimal supersymmetric…

High Energy Physics - Phenomenology · Physics 2007-05-23 John S. Hagelin , S. Kelley

We discuss several aspects of state-of-the-art calculations of radiative electroweak symmetry breaking in supergravity models. These models have a five-dimensional parameter space in contrast with the 21-dimensional one of the MSSM. We…

High Energy Physics - Phenomenology · Physics 2009-10-22 S. Kelley , J. Lopez , D. Nanopoulos , H. Pois , K. Yuan

We perform a complete analysis of the supersymmetric particle spectrum in the Minimal Supergravity (mSUGRA) model where the soft SUSY breaking scalar masses, gaugino masses and trilinear couplings are unified at the GUT scale, so that the…

High Energy Physics - Phenomenology · Physics 2010-02-03 A. Djouadi , M. Drees , J. L. Kneur

The study of effective potential for the scalar Lee-Wick pseudo-electrodynamics in one-loop is presented in this letter. The planar and non-local Lee-Wick pseudo-electrodynamics is so coupled to a complex scalar field sector in 1+2…

High Energy Physics - Theory · Physics 2025-08-26 M. J. Neves

The structure of loop corrections is examined in a scalar field theory on a three dimensional space whose spatial coordinates are noncommutative and satisfy SU(2) Lie algebra. In particular, the 2- and 4-point functions in $\phi^4$ scalar…

High Energy Physics - Theory · Physics 2008-11-26 H. Komaie-Moghaddam , M. Khorrami , A. H. Fatollahi

We study the one loop effective potential for the radion superfield in the supersymmetric Randall-Sundrum scenario with detuned brane tensions. At the classical level the distance between the branes is stabilized while the VEV of the fifth…

High Energy Physics - Theory · Physics 2009-11-11 Andrey Katz , Michele Redi , Yael Shadmi , Yuri Shirman

Unlike the Standard Model (SM), supersymmetric models stabilize the electroweak (EW) scale $v$ at the quantum level and {\it predict} that $v$ is a function of the TeV-valued SUSY parameters ($\gamma_\alpha$) of the UV Lagrangian. We show…

High Energy Physics - Phenomenology · Physics 2014-05-14 D. M. Ghilencea

We propose a dark energy model in which a quintessence field $\phi$ rolls near the vicinity of a local maximum of its potential characterized by the simplest $S$ self-dual form $V(\phi) = \Lambda \ {\rm sech}(\sqrt{2} \, \phi/M_p)$, where…

High Energy Physics - Theory · Physics 2025-06-04 Luis A. Anchordoqui , Ignatios Antoniadis , Dieter Lust

We investigate the dynamical breaking of local supersymmetry (supergravity), including the Deser-Zumino super-Higgs effect, via the corresponding one-loop effective potential for the simple but quite representative cases of N=1, D=4 simple…

High Energy Physics - Theory · Physics 2014-02-06 Jean Alexandre , Nick Houston , Nick E. Mavromatos

In a class of supersymmetric gauge theories with asymptotic freedom, the low energy effective theory below the confinement scale is described by the composite superfields of the fundamental representation fields. Based on the supersymmetric…

High Energy Physics - Phenomenology · Physics 2015-06-17 Shinya Kanemura , Naoki Machida , Tetsuo Shindou , Toshifumi Yamada

Spontaneously broken supersymmetry (SUSY) and a vanishingly small cosmological constant imply that R symmetry must be spontaneously broken at low energies. Based on this observation, we suppose that, in the sector responsible for low-energy…

High Energy Physics - Phenomenology · Physics 2016-10-19 Kai Schmitz , Tsutomu T. Yanagida

The most general $SU(2)\times U(1)_Y$-symmetric quartic potential with two Higgs doublets, subject to an only softly broken discrete symmetry $(\phi_1,\phi_2)\to(-\phi_1,\phi_2)$, is considered. At tree-level, analytic bounds on the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Boris Kastening

We discuss the physics of moduli (light scalar fields with Planck-suppressed couplings to matter) in the case of low-scale supersymmetry breaking such as gauge mediation. We argue that even if the mechanism of moduli stabilization is…

High Energy Physics - Phenomenology · Physics 2015-05-28 JiJi Fan , Matthew Reece , Lian-Tao Wang

A new viewpoint for the gauge hierarchy problem is proposed: compactification at a large scale, 1/R, leads to a low energy effective theory with supersymmetry softly broken at a much lower scale, \alpha/R. The hierarchy is induced by an…

High Energy Physics - Phenomenology · Physics 2010-05-28 Riccardo Barbieri , Lawrence J. Hall , Yasunori Nomura

A supersymmetric $Sp_{L}(6) \times U_{Y}(1)$ model (SUSY $Sp(6)$) is proposed as an extension of the standard electroweak model. The model is applied in a phenomenological study of $B^{0}_{d} \bar{B}^{0}_{d}$ mixing. It is found that the…

High Energy Physics - Phenomenology · Physics 2013-12-19 G. G. Blado , T. K. Kuo