Journal ArticleDOI
Dynamical Breaking of Supersymmetry
TLDR
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.About:
This article is published in Nuclear Physics.The article was published on 1981-10-05. It has received 3270 citations till now. The article focuses on the topics: Supersymmetry breaking & Symmetry breaking.read more
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Cheshire Cat resurgence, Self-resurgence and Quasi-Exact Solvable Systems
TL;DR: In this article, the authors consider the Double Sine-Gordon (DSG) and the Tilted Double Well (TDW) potentials and show that the convergence of DSG and TDW is determined by the quantization of the hidden topological angle.
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Algebraic solution of the supersymmetric hydrogen atom in d dimensions
TL;DR: In this paper, the N = 2 supersymmetric extension of the Schrodinger Hamiltonian with 1/r-potential in arbitrary space-dimensions is constructed, where the super-symmetric hydrogen atom admits a conserved Laplace-Runge-Lenz vector which extends the rotational symmetry SO(d) to a hidden SO (d+1) symmetry.
Journal ArticleDOI
Related operators and exact solutions of schrödinger equations
TL;DR: In this article, the Schrodinger equation was considered as a differential equation, disregarding the physical interpretation associated with solutions, by introducing the notion of A-related equations, A being a differential operator, and associated with it a Riccati equation.
Journal ArticleDOI
Exact Solutions of the Klein-Gordon Equation with Position-Dependent Mass for Mixed Vector and Scalar Kink-Like Potentials
TL;DR: In this article, the relativistic problem of spinless particles with position-dependent mass subject to kink-like potentials was investigated and the functional analysis method was used to obtain the bound state solutions in the closed form.
Journal ArticleDOI
Phase operators, temporally stable phase states, mutually unbiased bases and exactly solvable quantum systems
TL;DR: In this article, a one-parameter-generalized harmonic oscillator algebra is introduced and its finite-and infinite-dimensional representations according to the sign of the parameter κ are discussed.
References
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Journal ArticleDOI
A new proof of the positive energy theorem
TL;DR: In this article, a new proof of the positive energy theorem of classical general relativity was given and it was shown that there are no asymptotically Euclidean gravitational instantons.
Journal Article
Extension of the algebra of poincare group generators and violation of p invariance.
Yu.A. Golfand,E. P. Likhtman +1 more
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Recent Developments in Gauge Theories
Gerard 't Hooft,C. Itzykson,Arthur Jaffe,H. Lehmann,P. K. Mitter,I. M. Singer,R. Stora,Kevin Cahill +7 more
TL;DR: In this paper, the authors present a survey of recent developments on non-perturbative gauge fields by some of the leading experts and innovators in this field, including the Cargese Institute on "Recent Developments on Gauge Theories".
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Chiral-symmetry breakdown in large-N chromodynamics
Sidney R. Coleman,Edward Witten +1 more
TL;DR: In this article, it was shown that in the limit of a large number of colors, under reasonable assumptions, this symmetry group must spontaneously break down to diagonal σ(n) under chiral conditions.
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On constrained instantons
TL;DR: In this article, a simple method is presented for doing systematic constrained instanton calculations in models such as φ4 or Higgs theories where the presence of a mass term prevents the existence of a classical solution.