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The field theory of the semimetal-superconductor quantum phase transition for graphene and surface states of topological insulators is presented. The Lagrangian possesses the global U(1) symmetry, with the self-interacting complex bosonic…

Strongly Correlated Electrons · Physics 2013-01-11 Bitan Roy , Vladimir Juricic , Igor F. Herbut

It is well-known that the charge of fermion is 0 or $\pm1$ in the U(1) gauge theory on noncommutative spacetime. Since the deviation from the standard model in particle physics has not yet observed, and so there may be no room to…

High Energy Physics - Theory · Physics 2007-05-23 Yoshitaka Okumura

We explore the consequences of multi-trace deformations in applications of gauge-gravity duality to condensed matter physics. We find that they introduce a powerful new "knob" that can implement spontaneous symmetry breaking, and can be…

High Energy Physics - Theory · Physics 2011-04-20 Thomas Faulkner , Gary T. Horowitz , Matthew M. Roberts

We show that gluodynamics in an external Abelian electromagnetic field should possess a deconfining phase transition at zero temperature. Our analytical estimation of the critical external field is based on the dual superconductor picture…

High Energy Physics - Phenomenology · Physics 2010-05-27 M. N. Chernodub

We give another derivation of quark confinement in QCD from the viewpoint of the low-energy effective Abelian gauge theory of QCD obtained via Abelian projection. It is based on the recently discovered Berezinskii-Kosterlitz-Thouless phase…

High Energy Physics - Theory · Physics 2009-10-31 Kei-Ichi Kondo

This is the second paper concerning gauge-invariant coherent states for Loop Quantum Gravity. Here, we deal with the gauge group SU(2), this being a significant complication compared to the abelian U(1) case encountered in the previous…

General Relativity and Quantum Cosmology · Physics 2009-02-12 Benjamin Bahr , Thomas Thiemann

Starting from SU(2) Yang-Mills theory in 3+1 dimensions, we prove that the abelian-projected effective gauge theories are written in terms of the maximal abelian gauge field and the dual abelian gauge field interacting with monopole…

High Energy Physics - Theory · Physics 2009-10-30 Kei-ichi Kondo

We construct a class of non-invertible duality defects, in (2+1)d quantum field theories, arising from half-spacetime gauging of a 2-group symmetry. Starting from a parent theory with two discrete and Abelian 0-form symmetries and a…

High Energy Physics - Theory · Physics 2026-05-26 Davide Bason , Wei Cui , Lorenzo Ruggeri

Our Universe is ruled by quantum mechanics and should be treated as a quantum system. $SU(\infty)$-QGR is a recently proposed quantum model for the Universe, in which gravity is associated to $SU(\infty)$ symmetry of its Hilbert space.…

General Relativity and Quantum Cosmology · Physics 2025-05-27 Houri Ziaeepour

We find a dual gravity theory to pure confining N=1 supersymmetric SU(N) gauge theory in four dimensions which has the correct gauge coupling running in addition to reproducing the appropriate pattern of chiral symmetry breaking. It is…

High Energy Physics - Theory · Physics 2008-01-03 Girma Hailu

In the present paper the phase transition in the regularized U(1) gauge theory is investigated using the dual Abelian Higgs model of scalar monopoles. The corresponding renormalization group improved effective potential, analogous to the…

High Energy Physics - Theory · Physics 2010-05-27 L. V. Laperashvili , H. B. Nielsen , D. A. Ryzhikh

Two-dimensional Maxwell-dilaton quantum gravity on AdS_2 with radius $\ell$ and a constant electric field E is studied. In conformal gauge, this is equivalent to a CFT on a strip. In order to maintain consistent boundary conditions, the…

High Energy Physics - Theory · Physics 2009-04-17 Thomas Hartman , Andrew Strominger

We study six-dimensional N=(1,0) supergravity theories with abelian, as well as non-abelian, gauge group factors. We show that for theories with fewer than nine tensor multiplets, the number of possible combinations of gauge groups -…

High Energy Physics - Theory · Physics 2012-06-13 Daniel S. Park , Washington Taylor

The three-dimensional abelian Higgs model has been argued to be dual to a scalar field theory with a global U(1) symmetry. We show that this duality, together with the scaling and universality hypotheses, implies a scaling law for the…

High Energy Physics - Phenomenology · Physics 2016-09-06 D. T. Son

Using a 2-loop approximation for $\beta$-functions, we have considered the corresponding renormalization group improved effective potential in the Dual Abelian Higgs Model (DAHM) of scalar monopoles and calculated the phase transition…

High Energy Physics - Theory · Physics 2009-11-07 L. Laperashvili , H. B. Nielsen , D. A. Ryzhikh

It has been proposed that the deconfined criticality in $(2+1)d$ -- the quantum phase transition between a Neel anti-ferromagnet and a valence-bond-solid (VBS) -- may actually be pseudo-critical, in the sense that it is a weakly first-order…

Strongly Correlated Electrons · Physics 2020-07-29 Ruochen Ma , Chong Wang

Gauge theories in (1+1)D have attracted renewed attention partially due to their experimental realizations in quantum simulation platforms. In this work, we revisit the lattice massive Schwinger model and the (1+1)D lattice Abelian-Higgs…

Quantum Gases · Physics 2025-02-17 Yanting Cheng , Shang Liu

A constraint correlation dynamics up to 4-point Green's functions is proposed for SU(N) gauge theories which reduces the N-body quantum field problem to the two-body level. The resulting set of nonlinear coupled equations fulfills all…

Nuclear Theory · Physics 2009-10-22 S. J. Wang , W. Cassing , M. H. Thoma

We demonstrate electric-magnetic duality in N=1 supersymmetric non-Abelian gauge theories in four dimensions by presenting two different gauge theories (different gauge groups and quark representations) leading to the same non-trivial long…

High Energy Physics - Theory · Physics 2009-07-09 N. Seiberg

Critical properties of the compact three-dimensional U(1) lattice gauge theory are explored at finite temperatures. The critical point of the deconfinement phase transition, critical indices and the string tension are studied numerically on…

High Energy Physics - Lattice · Physics 2010-12-23 Oleg Borisenko , Roberto Fiore , Mario Gravina , Alessandro Papa
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