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We introduce two- and one-dimensional (2D and 1D) systems of two linearly-coupled Gross-Pitaevskii equations (GPEs) with the cubic self-attraction and harmonic-oscillator (HO) trapping potential in each GPE. The system models a…

Quantum Gases · Physics 2017-10-03 Zhaopin Chen , Yongyao Li , Boris A. Malomed , Luca Salasnich

We provide a resolution of one of the long-standing puzzles in the theory of disordered systems. By reformulating the functional renormalization group (FRG) for the critical behavior of the random field Ising model in a superfield…

Statistical Mechanics · Physics 2015-05-27 Matthieu Tissier , Gilles Tarjus

In conventional treatments, predictions from fixed-order perturbative QCD calculations cannot be fixed with certainty due to ambiguities in the choice of the renormalization scale as well as the renormalization scheme. In this paper we…

High Energy Physics - Phenomenology · Physics 2012-09-25 Stanley J. Brodsky , Xing-Gang Wu

It is well known that typical PT-symmetric systems suffer symmetry breaking when the strength of the gain-loss terms exceeds a certain critical value. We present a summary of recently published and newly produced results which demonstrate…

Optics · Physics 2018-02-27 Vitaly Lutsky , Eitam Luz , Er'el Granot , Boris A. Malomed

In this paper we discuss the implication of the existence of a sliding symmetry, equivalent to the absence of a shear modulus, on the low-energy theory of the quantum hall smectic (QHS) state. We show, through renormalization group…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Michael J. Lawler , Eduardo Fradkin

We point out a connection between R symmetry and \susy\ breaking. We show that the existence of an R symmetry is a necessary condition for \susy\ breaking and a spontaneously broken R symmetry is a sufficient condition provided two…

High Energy Physics - Phenomenology · Physics 2009-09-15 Ann E. Nelson , Nathan Seiberg

Approximately 10 years ago, the method of renormalization-group symmetries entered the field of boundary value problems of classical mathematical physics, stemming from the concepts of functional self-similarity and of the Bogoliubov…

Mathematical Physics · Physics 2009-08-11 V. F. Kovalev , D. V. Shirkov

Formation of transitory domain walls is quite generic in theories with spontaneous breaking of discrete symmetries. Since these walls are in conflict with cosmology, there has to be some mechanism which makes them disappear. We study one…

High Energy Physics - Phenomenology · Physics 2012-11-07 Debasish Borah

A one-dimensional driven two-species model with parallel sublattice update and open boundaries is considered. Although the microscopic many-body dynamics is symmetric with respect to the two species and interactions are short-ranged, there…

Statistical Mechanics · Physics 2018-04-27 Richard D. Willmann , Gunter M. Schuetz , Stefan Grosskinsky

In this work, a novel mechanism for spontaneous symmetry breaking is presented. This mechanism avoids quadratic divergencies and is thus capable of addressing the hierarchy problem in gauge theories. Using the scale-dependent effective…

High Energy Physics - Theory · Physics 2021-02-24 Benjamin Koch , Cristobal Laporte

We incorporate the microscopic assumptions that lead to a certain generalization of the Lieb-Schultz-Mattis (LSM) theorem for one-dimensional spin chains into the conformal bootstrap. Our approach accounts for the "LSM anomaly" possessed by…

Strongly Correlated Electrons · Physics 2023-05-31 Ryan A. Lanzetta , Lukasz Fidkowski

We continue investigation of the renormalization group and decoupling of the quantized massive fields in curved space. In the present work we analyze a theory, where fields gain their masses due to the Spontaneous Symmetry Breaking (SSB),…

High Energy Physics - Phenomenology · Physics 2009-11-10 Eduard V. Gorbar , Ilya L. Shapiro

We study the conformal bootstrap constraints for 3D conformal field theories with a $\mathbb{Z}_2$ or parity symmetry, assuming a single relevant scalar operator $\epsilon$ that is invariant under the symmetry. When there is additionally a…

High Energy Physics - Theory · Physics 2018-12-05 Alexander Atanasov , Aaron Hillman , David Poland

We investigate a D-brane system in which spontaneous gauge symmetry breaking occurs. The system consists of four D3-branes and three anti-D7-branes at C^3/Z_3 singularity. The singularity is blown up by vacuum expectation values of the…

High Energy Physics - Theory · Physics 2015-06-12 Noriaki Kitazawa , Shutaro Kobayashi

In the last years we have proposed the use of the mechanism of spontaneous symmetry breaking with the purpose of generating perfect quadrature squeezing. Here we review previous work dealing with spatial (translational and rotational)…

We construct exact solutions to the functional renormalisation group equation of the O(N) model and the Gross-Neveu model at large N for $2<d<4$, without specifying the form of the regulator. This allows to investigate which quantities are…

High Energy Physics - Theory · Physics 2021-07-07 Benjamin Knorr

The flow equations of the Functional Renormalization Group are applied to the O(N)-symmetric scalar theory, for N=1 and N=4, in four Euclidean dimensions, d=4, to determine the effective potential and the renormalization function of the…

High Energy Physics - Theory · Physics 2015-06-05 Dario Zappalà

We compute the renormalization group flow of O(N) scalar field theories in de Sitter space using nonperturbative renormalization group techniques in the local potential approximation. We obtain the flow of the effective potential on…

High Energy Physics - Theory · Physics 2015-06-16 Julien Serreau

Numerical Simulations of the random phase sine-Gordon model suffer from strong finite size effects preventing the non-Gaussian $\log^2 r$ component of the spatial correlator from following the universal infinite volume prediction. We show…

Disordered Systems and Neural Networks · Physics 2011-02-16 D. J. Lancaster , J. J. Ruiz-Lorenzo

Folded supersymmetry is a natural theory of the electroweak scale in which the scalar top partner responsible for canceling the ultraviolet sensitivity of the Higgs mass at one loop carries no color. As a result, bounds on naturalness on…

High Energy Physics - Phenomenology · Physics 2015-12-02 Gustavo Burdman , Raffaele Tito D'Agnolo
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