Interacting Fermions and Supersymmetric Models

2020 ◽  
pp. 913-942
Author(s):  
Giuseppe Mussardo
Keyword(s):  
Phase Transition ◽  
Bound States ◽  
Supersymmetric Theory ◽  
Fermion Field ◽  
Stable States ◽  
Supersymmetric Models ◽  
Classical Formalism ◽  
Susy Models

Chapter 24 discusses interacting fermions and supersymmetry (SUSY) models. The chapter addresses the semi-classical formalism relative to a fermion field in a bosonic background. It covers topics that include bosonic and fermionic bound states (both Dirac and Majorana), symmetric wells, supersymmetric theory, general results in SUSY theories, integrable SUSY models, non-integrable multi-frequency super Sine–Gordon models, phase transition and meta-stable states. It also discusses the conditions under which the overall theory presents supersymmetry and the consequences thereof. It also covers how semi-classical formulae can help to identify the particle excitations and estimate one of their most important characteristics, i.e. their mass.

scholarly journals Magnetic anisotropy in Shiba bound states across a quantum phase transition

2015 ◽  
Vol 6 (1) ◽  
Author(s):  
Nino Hatter ◽  
Benjamin W. Heinrich ◽  
Michael Ruby ◽  
Jose I. Pascual ◽  
Katharina J. Franke
Keyword(s):  
Phase Transition ◽  
Magnetic Anisotropy ◽  
Quantum Phase Transition ◽  
Bound States ◽  
Quantum Phase

scholarly journals Dark Matter as dark dwarfs and other macroscopic objects: multiverse relics?

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Christian Gross ◽  
Giacomo Landini ◽  
Alessandro Strumia ◽  
Daniele Teresi
Keyword(s):  
Phase Transition ◽  
Dark Matter ◽  
Bound States ◽  
Primordial Black Holes ◽  
False Vacuum ◽  
First Order ◽  
First Order Phase Transition ◽  
Macroscopic Objects ◽  
Chandrasekhar Limit ◽  
First Order Phase

Abstract First order phase transitions can leave relic pockets of false vacua and their particles, that manifest as macroscopic Dark Matter. We compute one predictive model: a gauge theory with a dark quark relic heavier than the confinement scale. During the first order phase transition to confinement, dark quarks remain in the false vacuum and get compressed, forming Fermi balls that can undergo gravitational collapse to stable dark dwarfs (bound states analogous to white dwarfs) near the Chandrasekhar limit, or primordial black holes.

scholarly journals Degenerate fermion and Wilson loops in 1 + 1 dimensions

1990 ◽  
Vol 68 (4-5) ◽  
pp. 357-360
Author(s):  
Kiyoshi Shiraishi
Keyword(s):  
Phase Transition ◽  
Boundary Condition ◽  
Symmetry Breaking ◽  
Finite Temperature ◽  
Fermion Field ◽  
Wilson Loops ◽  
Finite Density ◽  
Gauge Symmetries ◽  
Antiperiodic Boundary Condition

We investigate the effect of finite fermion density on symmetry breaking by Wilson loops in (1 + 1) dimensions. We find the breaking and restoration of symmetry at finite density in models with SU(2) and SU(3) gauge symmetries, in the presence of the adjoint fermions. The transition can occur at a finite density of fermions, regardless of the periodic or antiperiodic boundary condition of the fermion field; this is in contrast to the finite-temperature case examined by Ho and Hosotani (IASSNS-HEP preprint 88/48) where the boundary condition of fractional twist is essential to the occurrence of the phase transition.

scholarly journals The study of doubly charmed pentaquark $$c c {\bar{q}}qq$$ with the SU(3) symmetry

2021 ◽  
Vol 81 (11) ◽  
Author(s):  
Ye Xing ◽  
Yuekun Niu
Keyword(s):  
Bound States ◽  
Flavor Symmetry ◽  
Stable States ◽  
Diquark Model ◽  
Decay Channels ◽  
Decay Modes ◽  
Leptonic Decays ◽  
The Masses

AbstractWe study the masses and lifetimes of doubly charmed pentaquark $$P_{cc{\bar{q}}qq}(q=u,d,s)$$ P c c q ¯ q q ( q = u , d , s ) primarily. The operation of masses carried out by the doubly heavy triquark-diquark model, whose results suggests the existence of stable states $$cc{\bar{s}} ud$$ c c s ¯ u d with the parity $$J^P=\frac{1}{2}^-$$ J P = 1 2 - . The roughly calculation about lifetimes show the short magnitudes, $$(4.65^{+0.71}_{-0.55})\times 10^{-13}s $$ ( 4 . 65 - 0.55 + 0.71 ) × 10 - 13 s for the parity $$J^P=\frac{1}{2}^-$$ J P = 1 2 - and $$(0.93^{+0.14}_{-0.11})\times 10^{-12} s $$ ( 0 . 93 - 0.11 + 0.14 ) × 10 - 12 s for $$J^P=\frac{3}{2}^-$$ J P = 3 2 - . Since the pentaquark $$cc{\bar{s}} ud$$ c c s ¯ u d is interpreted as the stable bound states against strong decays, then we will focus on the production and possible decay channels of the pentaquark in the next step, the study would be fairly valuable supports for future experiments. For completeness, we systematically studied the production from $$\Omega _{ccc}$$ Ω ccc and the decay modes in the framework SU(3) flavor symmetry, including the processes of semi-leptonic and two body non-leptonic decays. Synthetically, we make a collection of the golden channels.

scholarly journals A 125 GeV Higgs and Its Diphoton Signal in Different SUSY Models: A Mini Review

2012 ◽  
Vol 2012 ◽  
pp. 1-17 ◽  
Author(s):  
Zhaoxia Heng
Keyword(s):  
Higgs Boson ◽  
Standard Model ◽  
Supersymmetric Standard Model ◽  
Minimal Supersymmetric Standard Model ◽  
Low Energy ◽  
Fine Tuning ◽  
Signal Rate ◽  
Supersymmetric Models ◽  
Susy Models ◽  
Higgs Signal

In this paper we briefly review our recent studies on a 125 GeV Higgs and its diphoton signal rate in different low-energy supersymmetric models, namely, the minimal supersymmetric standard model (MSSM), the next-to-minimal supersymmetric standard model (NMSSM), the nearly minimal supersymmetric standard model (nMSSM), and the constrained MSSM. Our conclusion is as follows (i) in the allowed parameter space the SM-like Higgs boson can easily be 125 GeV in the MSSM, NMSSM, and nMSSM, while it is hard to realize in the constrained MSSM; (ii) the diphoton Higgs signal rate in the nMSSM and constrained MSSM is suppressed relative to the prediction of the SM, while the signal rate can be enhanced in the MSSM and NMSSM; (iii) the NMSSM may allow for a lighter top squark than the MSSM, which can thus ameliorate the fine-tuning problem.

Multiple stable states and Dicke phase transition for two atoms in an optical cavity

2019 ◽  
Vol 407 ◽  
pp. 66-77
Author(s):  
Xue-Min Bai ◽  
Xue-Yun Bai ◽  
Ni Liu ◽  
Jun-Qi Li ◽  
J.-Q. Liang
Keyword(s):  
Phase Transition ◽  
Optical Cavity ◽  
Stable States ◽  
Multiple Stable States

scholarly journals Neutral baryonic systems with strangeness

2020 ◽  
Vol 29 (01) ◽  
pp. 1930009
Author(s):  
H. Garcilazo ◽  
A. Valcarce ◽  
J. Vijande
Keyword(s):  
Bound States ◽  
Current Knowledge ◽  
Charged Particles ◽  
Quasibound State ◽  
Stable States ◽  
Broad Agreement ◽  
The Status

We review the status as regards to the existence of three- and four-body bound states made of neutrons and [Formula: see text] hyperons. For interesting cases, the coupling to neutral baryonic systems made of charged particles of different strangeness has been addressed. There are strong arguments showing that the [Formula: see text] system has no bound states. [Formula: see text] strong stable states are not favored by our current knowledge of the strangeness [Formula: see text] and [Formula: see text] baryon–baryon interactions. However, a possible [Formula: see text] quasibound state decaying to [Formula: see text] might exist in nature. Similarly, there is a broad agreement about the nonexistence of [Formula: see text] bound states. However, the coupling to [Formula: see text] states opens the door to a resonance above the [Formula: see text] threshold.

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