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Beginning with Anderson (1972), spontaneous symmetry breaking (SSB) in infinite quantum systems is often put forward as an example of (asymptotic) emergence in physics, since in theory no finite system should display it. Even the…

Mathematical Physics · Physics 2013-08-05 N. P. Landsman

We extend effective field theory to the case of spontaneous symmetry breaking in genuinely finite quantum systems such as small superfluid systems, molecules or atomic nuclei, and focus on deformed nuclei. In finite superfluids, symmetry…

Nuclear Theory · Physics 2014-02-04 T. Papenbrock , H. A. Weidenmueller

We study quantum mechanics in the stochastic formulation, using the functional integral approach. The noise term enters the classical action as a local contribution of anticommuting fields. The partition function is not invariant under…

High Energy Physics - Lattice · Physics 2013-11-15 S. Nicolis

In the past ten years, the ideas of supersymmetry have been profitably applied to many nonrelativistic quantum mechanical problems. In particular, there is now a much deeper understanding of why certain potentials are analytically solvable…

High Energy Physics - Theory · Physics 2010-11-01 Fred Cooper , Avinash Khare , Uday Sukhatme

Recent work has shown that the entanglement of finite-temperature eigenstates in chaotic quantum many-body local Hamiltonians can be accurately described by an ensemble of random states with an internal $U(1)$ symmetry. We build upon this…

Quantum Physics · Physics 2025-09-18 Angelo Russotto , Filiberto Ares , Pasquale Calabrese

We introduce a new class of effective actions describing dynamically broken supersymmetric theories in an essentially non-perturbative region. Our approach is a generalization of the known supersymmetric non-linear sigma models, but allows…

High Energy Physics - Theory · Physics 2007-05-23 L. Bergamin , P. Minkowski

In this paper, we develop the groundwork for a graph theoretic toy model of supersymmetric quantum mechanics. Using discrete Witten-Morse theory, we demonstrate that finite graphs have a natural supersymmetric structure and use this…

Mathematical Physics · Physics 2025-07-15 Bek Herz , Ivan Contreras

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

Quantum computing promises the possibility of studying the real-time dynamics of nonperturbative quantum field theories while avoiding the sign problem that obstructs conventional lattice approaches. Current and near-future quantum devices…

High Energy Physics - Lattice · Physics 2021-12-15 Christopher Culver , David Schaich

Spontaneous symmetry breaking occurs in a system when its Hamiltonian possesses a certain symmetry, whereas the ground state wave functions do not preserve it. This provides such a scenario that a bifurcation, which breaks the symmetry,…

Statistical Mechanics · Physics 2015-05-13 Jian-Hui Zhao , Hong-Lei Wang , Bo Li , Huan-Qiang Zhou

Extending notions of phase transitions to nonequilibrium realm is a fundamental problem for statistical mechanics. While it was discovered that critical transitions occur even for transient states before relaxation as the singularity of a…

Statistical Mechanics · Physics 2021-09-02 Ryusuke Hamazaki

For a quantum mechanical system with broken supersymmetry, we present a simple method of determining the ground state when the corresponding energy eigenvalue is sufficiently small. A concise formula is derived for the approximate ground…

High Energy Physics - Theory · Physics 2009-11-10 Min-Young Choi , Choonkyu Lee

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

We take supersymmetry in the Seiberg-Witten theory as a case study of the uses of (super)symmetry arguments in studying the ontology of four-dimensional interacting quantum field theories. Together with a double expansion, supersymmetry is…

History and Philosophy of Physics · Physics 2024-09-10 Sanne Vergouwen , Sebastian De Haro

It is shown that, if generators of supersymmetry transformations (supercharges) can be defined in a spatially homogeneous physical state, then this state describes the vacuum. Thus, supersymmetry is broken in any thermal state and it is…

High Energy Physics - Theory · Physics 2009-10-30 Detlev Buchholz , Izumi Ojima

Spontaneous symmetry breaking has revolutionized the understanding in numerous fields of modern physics. Here, we theoretically demonstrate the spontaneous time-reversal symmetry breaking in a cavity quantum electrodynamics system in which…

Quantum Physics · Physics 2018-08-01 Yu-Kun Lu , Pai Peng , Qi-Tao Cao , Da Xu , Jan Wiersig , Qihuang Gong , Yun-Feng Xiao

The class of relativistic spin particle models reveals the `quantization' of parameters already at the classical level. The special parameter values emerge if one requires the maximality of classical global continuous symmetries. The same…

High Energy Physics - Theory · Physics 2009-10-31 Mikhail Plyushchay

The dynamical breaking of gauge symmetry in the supersymmetric quantum electrodynamics in three-dimensional spacetime is studied at two-loop approximation. At this level, the effective superpotential is evaluated in a supersymmetric phase.…

High Energy Physics - Theory · Physics 2009-01-21 A. C. Lehum

This works presents a perturbative analysis of the supersymmetric Chern-Simons model in three spacetime dimensions coupled to a Higgs field, using the superfield formalism. We study the spontaneous symmetry breaking of the U(1) gauge…

High Energy Physics - Theory · Physics 2008-11-26 A. C. Lehum , A. F. Ferrari , M. Gomes , A. J. da Silva

We show the existence of a supersymmetry breaking mechanism in string theory, where N=4 supersymmetry is broken spontaneously to N=2 and N=1 with moduli dependent gravitino masses. The spectrum of the spontaneously broken theory with lower…

High Energy Physics - Theory · Physics 2009-10-30 E. Kiritsis , C. Kounnas