scholarly journals Vacuum Condensates as a Mechanism of Spontaneous Supersymmetry Breaking

2015 ◽  
Vol 2015 ◽  
pp. 1-6 ◽  
Author(s):  
Antonio Capolupo ◽  
Marco Di Mauro
Keyword(s):  
Supersymmetry Breaking ◽  
Lattice Model ◽  
Finite Temperature ◽  
Optical Lattice ◽  
Susy Breaking ◽  
Spontaneous Breaking ◽  
Experimental Setup ◽  
Aharonov Invariants ◽  
Vacuum Condensates

A possible mechanism for the spontaneous breaking of SUSY, based on the presence of vacuum condensates, is reviewed. Such a mechanism could occur in many physical examples, at both the fundamental and emergent levels, and would be formally analogous to spontaneous SUSY breaking at finite temperature in the TFD formalism, in which case it can be applied as well. A possible experimental setup for detecting such a breaking through measurement of the Anandan-Aharonov invariants associated with vacuum condensates in an optical lattice model is proposed.

scholarly journals Spontaneous Supersymmetry Breaking Probed by Geometric Invariants

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
Antonio Capolupo ◽  
Giuseppe Vitiello
Keyword(s):  
Supersymmetry Breaking ◽  
Optical Lattice ◽  
Experimental Setup ◽  
Zero Temperature ◽  
Nonzero Temperature ◽  
Geometric Invariants ◽  
Vacuum Condensates ◽  
Zumino Model

The presence of the Aharonov-Anandan invariant in phenomena in which vacuum condensates are physically relevant can help to reveal the spontaneous supersymmetry breaking induced by condensates. The analysis is presented in the case of the Wess-Zumino model. The manifestation of the Aharonov-Anandan invariant of atoms and their superpartners, generated at nonzero temperature, could reveal the signature of SUSY violation in a recently proposed experimental setup based on an optical lattice in which SUSY is broken at non-zero temperature.

scholarly journals Bose-Einstein quantum phase transition in an optical lattice model

2004 ◽  
pp. 337-349 ◽  
Author(s):  
Michael Aizenman ◽  
Elliott H. Lieb ◽  
Robert Seiringer ◽  
Jan Philip Solovej ◽  
Jakob Yngvason
Keyword(s):  
Phase Transition ◽  
Quantum Phase Transition ◽  
Lattice Model ◽  
Optical Lattice ◽  
Quantum Phase ◽  
Bose Einstein

Critical Rotation Rate for Vortex Nucleation in Ultracold Rotating Boson Atoms Trapped in 2D Deep Optical Lattice at Finite Temperature

2020 ◽  
Vol 200 (3-4) ◽  
pp. 102-117
Author(s):  
Ahmed S. Hassan ◽  
Azza M. Elbadry ◽  
Alyaa A. Mahmoud ◽  
A. M. Mohammedein ◽  
A. M. Abdallah
Keyword(s):  
Rotation Rate ◽  
Finite Temperature ◽  
Optical Lattice ◽  
Critical Rotation ◽  
Vortex Nucleation

scholarly journals INVERSE AND SPONTANEOUS SUPERSYMMETRY BREAKING IN S1 × R3

2010 ◽  
Vol 25 (25) ◽  
pp. 4801-4826
Author(s):  
V. K. OIKONOMOU
Keyword(s):  
Symmetry Breaking ◽  
Supersymmetry Breaking ◽  
Finite Temperature ◽  
Space Time ◽  
Supersymmetric Model ◽  
Interaction Terms ◽  
Compact Dimension ◽  
Continuous Symmetries

In this paper, we study the influence of hard-supersymmetry-breaking terms in an N = 1, d = 4 supersymmetric model, with S1 × R3 space–time topology. It is found that for some interaction terms and for certain values of the couplings, supersymmetry is unbroken for small lengths of the compact radius and spontaneously breaks as the radius increases. Also, for another class of interaction terms, when the radius is large, supersymmetry is unbroken and spontaneously breaks as the radius decreases. It is pointed out that the two phenomena have similarities to the theory of metastable vacua at finite temperature, as well as to the inverse symmetry breaking of continuous symmetries at finite temperature (where the role of the temperature is played by the radius of the compact dimension).

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