Supersymmetry Breaking in Low Dimensional Models
Christian Wozar,Andreas Wipf +1 more
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In this article, the authors analyse supersymmetric models that show supersymmetry breaking in one and two dimensions using lattice methods and show that the non-local SLAC derivative is a sensible choice in the quenched model, which is nothing but the two-dimensional ϕ 4 model.About:
This article is published in Annals of Physics.The article was published on 2012-03-01 and is currently open access. It has received 44 citations till now. The article focuses on the topics: Supersymmetry breaking & Supersymmetry.read more
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Hamiltonian Truncation Study of the 4 Theory in Two Dimensions II. The Z 2 -Broken Phase and the Chang Duality
TL;DR: In this article, the Fockspace Hamiltonian truncation method is applied to the two-dimensional 4 theory in the phase where the Z2-symmetry is spontaneously broken, complementing their earlier study of the Z 2-invariant phase and of the critical point.
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Tensor network formulation for two-dimensional lattice $$ \mathcal{} $$ = 1 Wess-Zumino model
Daisuke Kadoh,Yoshinobu Kuramashi,Yoshifumi Nakamura,Ryo Sakai,Shinji Takeda,Yusuke Yoshimura +5 more
TL;DR: This work presents a tensor network formulation of the two-dimensional lattice N = 1 Wess-Zumino model while showing that numerical results agree with the exact solutions for the free case.
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New Monte Carlo determination of the critical coupling in ϕ 2 4 theory
TL;DR: In this article, the critical coupling constant was obtained by means of Monte Carlo calculations, where $g$ is the unrenormalized coupling, where g is the number of vertices in the lattice.
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Inhomogeneous phases in the Gross-Neveu model in 1 + 1 dimensions at finite number of flavors
TL;DR: In this paper, the authors explore the thermodynamics of the $1+1$-dimensional Gross-Neveu (GN) model at a finite number of fermion flavors using lattice field theory.
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Tensor network analysis of critical coupling in two dimensional $\phi^{4}$ theory
Daisuke Kadoh,Yoshinobu Kuramashi,Yoshifumi Nakamura,Ryo Sakai,Shinji Takeda,Yusuke Yoshimura +5 more
TL;DR: In this paper, a detailed analysis of the spontaneous symmetry breaking in the two-dimensional real π-4-symmetry theory with the tensor renormalization group approach is presented.
References
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Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models
N. D. Mermin,Herbert Wagner +1 more
TL;DR: In this paper, it is rigorously proved that at any nonzero temperature, a one- or two-dimensional isotropic spin-S$ Heisenberg model with finite-range exchange interaction can be neither ferromagnetic nor antiferromagnetic.
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Partial Symmetries of Weak Interactions
TL;DR: In this paper, the weak and electromagnetic interactions of leptons are examined under the hypothesis that the weak interactions are mediated by vector bosons, and it is shown that the simplest partially-symmetric model reproducing the observed electromagnetic and weak interactions requires the existence of at least four vector-boson fields (including the photon).
Book
Supersymmetry and Supergravity
Julius Wess,Jonathan Bagger +1 more
TL;DR: The second edition of this book appeared in 1983 and was based on a series of lectures given at Princeton in 1983 by Julius Wess as discussed by the authors, where the authors presented a general supersymmetric gauge invariant theory of chiral fields interacting with supergravity.
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Dynamical Breaking of Supersymmetry
TL;DR: In this article, general conditions for dynamical supersymmetry breaking are discussed and examples are given (in 0 + 1 and 2 + 1 dimensions) in which such a program in four dimensions is possible.