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We investigate Abelian and monopole contributions to spatial string tension in the deconfined phase of finite temperature SU(2) gauge theory without imposing any gauge fixing conditions. Lattice calculations of non-Abelian and Abelian…

High Energy Physics - Lattice · Physics 2016-12-07 Takashige Sekiguchi , Katsuya Ishiguro

We develop a bosonization formalism that captures non-perturbatively the interaction effects on the $\mathbf{Q}=0$ continuum of excitations of nodal fermions above one dimension. Our approach is a natural extension of the classic…

Strongly Correlated Electrons · Physics 2020-09-16 Sebastian Mantilla , Inti Sodemann

A non-abelian ``self-dual'' massive gauge theory describing a massive spin one physical mode is presented. The action is expressed in terms of two independent connections on a principle bundle over $2+1$ space-time. The kinetic terms are…

High Energy Physics - Theory · Physics 2014-11-18 P. J. Ariasa , L. Leal , A. Restuccia

A nonabelian generalization of the neutral Witten current-carrying string model is discussed in which the bosonic current-carrier belongs to a two dimensional representation of SU(2). We find that the current-carrying solutions can be of…

High Energy Physics - Theory · Physics 2014-11-20 Marc Lilley , Fabrizio Di Marco , Jerome Martin , Patrick Peter

This work is concerned with the realization and stability of a non-Abelian chiral quantum spin liquid phase. To do so, we cast the problem in a quantum wires framework, which is a dimensional deconstruction framework that allows us to study…

Strongly Correlated Electrons · Physics 2024-08-13 Rodrigo Corso B. Santos , Carlos A. Hernaski

We investigate a class of conformal Non-Abelian-Toda models representing a noncompact $SL(2,R)/U(1)$ parafermionions (PF) interacting with a specific abelian Toda theories and having a global U(1) symmetry. A systematic derivation of the…

High Energy Physics - Theory · Physics 2007-05-23 J. F. Gomes , G. M. Sotkov , A. H. Zimerman

Quantum fluctuations of the N\'eel state of the square lattice antiferromagnet are usually described by a $\mathbb{CP}^1$ theory of bosonic spinons coupled to a U(1) gauge field, and with a global SU(2) spin rotation symmetry. Such a theory…

Strongly Correlated Electrons · Physics 2018-01-31 Alex Thomson , Subir Sachdev

In this work we present symmetry transformations relating bosons to fermions which cannot be represented as a supersymmetric algebra. We present a symmetry transformation relating a complex scalar and a fermion in four dimensions and…

High Energy Physics - Theory · Physics 2021-01-18 Vaibhav Wasnik

Non-Abelian flux tubes (strings) are well studied in N=2 supersymmetric QCD in (3+1) dimensions. In addition to translational zero modes they have also orientational moduli associated with rotations of their fluxes inside a non-Abelian…

High Energy Physics - Theory · Physics 2017-06-21 E. Ievlev , A. Yung

We consider non-Abelian gauged version of chiral boson with a generalized Faddeevian regularization. It is a second class constrained theory. We quantize the theory and analyze the phase space. It is shown that in spite of the lack of…

High Energy Physics - Theory · Physics 2008-11-26 Anisur Rahaman

We bosonize the Massive Thirring Model in 3+1D for small coupling constant and arbitrary mass. The bosonized action is explicitly obtained both in terms of a Kalb-Ramond tensor field as well as in terms of a dual vector field. An exact…

High Energy Physics - Theory · Physics 2009-10-30 R. Banerjee , E. C. Marino

We first propose an alternative to Vasiliev's bosonic higher spin gravities in any dimension by factoring out a modified sp(2) gauge algebra. We evidence perturbative equivalence of the two models, which have the same spectrum of Fronsdal…

High Energy Physics - Theory · Physics 2017-12-11 Cesar Arias , Roberto Bonezzi , Per Sundell

We perform a careful study of the infrared sector of massless non-abelian gauge theories in four-dimensional Minkowski spacetime using the covariant phase space formalism, taking into account the boundary contributions arising from the…

High Energy Physics - Theory · Physics 2021-03-17 Temple He , Prahar Mitra

We consider the topological theory of Witten type for gauge differential p-forms. It is shown that some topological invariants such as linking numbers appear under quantization of this theory. The non-abelian generalization of the model is…

High Energy Physics - Theory · Physics 2015-06-26 S. N. Solodukhin

We apply the Schrodinger functional method to the Abelian gauge theory in three dimensions with Nf=2 four-component fermions. We find that the calculated beta function does not cross zero in the range of coupling we study. This implies that…

High Energy Physics - Lattice · Physics 2014-08-06 Ohad Raviv , Yigal Shamir , Benjamin Svetitsky

We use a family of critical spin chain models discovered recently by one of us [M. Greiter, Mapping of Parent Hamiltonians, Springer, Berlin/Heidelberg 2011] to propose and elaborate that non-Abelian, SU(2) level $k=2S$ anyon statistics…

Strongly Correlated Electrons · Physics 2019-09-06 Martin Greiter , F. D. M. Haldane , Ronny Thomale

We construct two-dimensional non-Abelian topologically ordered states by strongly coupling arrays of one-dimensional quantum wires via interactions. In our scheme, all charge degrees of freedom are gapped, so the construction can use either…

Strongly Correlated Electrons · Physics 2016-05-18 Po-Hao Huang , Jyong-Hao Chen , Pedro R. S. Gomes , Titus Neupert , Claudio Chamon , Christopher Mudry

We examine gauge theories on Minkowski space-time times fuzzy coset spaces. This means that the extra space dimensions instead of being a continuous coset space S/R are a corresponding finite matrix approximation. The gauge theory defined…

High Energy Physics - Theory · Physics 2009-11-10 P. Aschieri , J. Madore , P. Manousselis , G. Zoupanos

We evaluate the noncommutative Chern-Simons action induced by fermions interacting with an Abelian gauge field in a noncommutative massive Thirring model in (2+1)-dimensional spacetime. This calculation is performed in the Dirac and…

High Energy Physics - Theory · Physics 2009-11-10 F. A. Brito , T. Mariz , J. R. S. Nascimento , R. F. Ribeiro

We discuss bosonization and Fermionic Short-Range-Entangled (FSRE) phases of matter in one, two, and three spatial dimensions, emphasizing the physical meaning of the cohomological parameters which label such phases and the connection with…

Strongly Correlated Electrons · Physics 2017-11-22 Anton Kapustin , Ryan Thorngren