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The all-orders beta function is used to study disordered Dirac fermions in 2D. The generic strong coupling fixed `points' of anisotropic current-current interactions at large distances are actually isotropic manifolds corresponding to…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Andre' LeClair

A continuous sequence of infinitesimal unitary transformations is used to diagonalize the quantum sine-Gordon model for \beta^2\in(2\pi,\infty). This approach can be understood as an extension of perturbative scaling theory since it links…

Statistical Mechanics · Physics 2009-10-31 Stefan Kehrein

A continuous sequence of infinitesimal unitary transformations, combined with an operator product expansion for vertex operators, is used to diagonalize the quantum sine-Gordon model for 2 pi < beta^2 < infinity. The leading order of this…

Statistical Mechanics · Physics 2009-10-31 Stefan Kehrein

A strong-to-weak-coupling duality is established for the nonequilibrium interacting resonant-level model, describing tunneling through a single spinless level, capacitively coupled to two leads by a contact interaction. For large capacitive…

Strongly Correlated Electrons · Physics 2007-10-02 Avraham Schiller , Natan Andrei

We develop a general framework for identifying phase reduced equations for finite populations of coupled oscillators that is valid far beyond the weak coupling approximation. This strategy represents a general extension of the theory from…

Adaptation and Self-Organizing Systems · Physics 2021-05-05 Youngmin Park , Dan Wilson

The flow of couplings under anisotropic scaling of momenta is computed in $\phi^3$ theory in 6 dimensions. It is shown that the coupling decreases as momenta of two of the particles become large, keeping the third momentum fixed, but at a…

High Energy Physics - Theory · Physics 2009-10-28 Vipul Periwal

We present a strong-weak coupling duality for quantum mechanical potentials. Similarly to what happens in quantum field theory, it relates two problems with inverse couplings, leading to a mapping of the strong coupling regime into the weak…

High Energy Physics - Theory · Physics 2007-05-23 A. de Souza Dutra

Strong-weak duality invariance can only be defined for particular sectors of supersymmetric Yang-Mills theories. Nevertheless, for full non-Abelian non-supersymmetric theories, dual theories with inverted couplings, have been found. We show…

High Energy Physics - Theory · Physics 2009-10-31 H. Garcia-Compean , O. Obregon , C. Ramirez

This is a general introduction to electric-magnetic duality in non-abelian gauge theories. In chapter I, I review the general ideas which led in the late 70s to the idea of electric/magnetic duality in quantum field theory. In chapters II…

High Energy Physics - Theory · Physics 2008-02-03 Frank Ferrari

Recently a strong-weak coupling duality in non-abelian non-supersymmetric theories in four dimensions has been found. An analogous procedure is reviewed, which allows to find the `dual action' to the gauge theory of dynamical gravity…

High Energy Physics - Theory · Physics 2015-06-26 H. Garcia-Compean , O. Obregon , C. Ramirez

A complete definition of the cycles, on the auxiliary Riemann surface defined by Martinec and Warner for describing pure N=2 gauge theories with arbitrary group, is provided. The strong coupling monodromies around the vanishing cycles are…

High Energy Physics - Theory · Physics 2008-11-26 Timothy J. Hollowood

Extending earlier work, we find the two-loop term in the beta-function for the scalar coupling $\zeta$ in a generalized Wilson loop operator of the $\mathcal{N}=4$ SYM theory, working in the planar weak-coupling expansion. The beta-function…

High Energy Physics - Theory · Physics 2022-02-02 Matteo Beccaria , Simone Giombi , Arkady A. Tseytlin

We identify the gauge theory dual of a spinning string of minimal energy with spins S_1, S_2 on AdS_5 and charge J on S^5. For this purpose we focus on a certain set of local operators with two different types of covariant derivatives…

High Energy Physics - Theory · Physics 2010-02-26 Lisa Freyhult , Adam Rej , Stefan Zieme

We use a scattering formalism to derive a condition of strong coupling between a resonant scatterer and an Anderson localized mode for electromagnetic waves in two dimensions. The strong coupling regime is demonstrated based on exact…

Optics · Physics 2015-06-15 Alexandre Cazé , Romain Pierrat , Rémi Carminati

By making use of current-algebra Ward identities we study renormalization of general anisotropic current-current interactions in 2D. We obtain a set of algebraic conditions that ensure the renormalizability of the theory to all orders. In a…

High Energy Physics - Theory · Physics 2009-10-31 B. Gerganov , A. LeClair , M. Moriconi

The S-matrix of the well-studied sinh-Gordon model possesses a remarkable strong/weak coupling duality $b \to 1/b$. Since there is no understanding nor evidence for such a duality based on the quantum action of the model, it should be…

High Energy Physics - Theory · Physics 2022-09-15 Denis Bernard , André LeClair

In this letter we present our results for the four-loop beta-function of the strong coupling in the Standard Model of fundamental interactions. We take top-Yukawa and self-Higgs interactions into account, but neglect electroweak gauge…

High Energy Physics - Phenomenology · Physics 2016-09-14 A. V. Bednyakov , A. F. Pikelner

We consider a model of spin-gapped chains weakly coupled by Josephson and Coulomb interactions. Combining such non-perturbative methods as bosonization and Bethe ansatz to treat the intra-chain interactions with the Random Phase…

Strongly Correlated Electrons · Physics 2009-11-07 Sam T. Carr , Alexei M. Tsvelik

We study the ground-state phase diagram of the Ashkin-Teller random quantum spin chain by means of a generalization of the strong-disorder renormalization group. In addition to the conventional paramagnetic and ferromagnetic (Baxter)…

Strongly Correlated Electrons · Physics 2014-01-14 Fawaz Hrahsheh , Rajesh Narayanan , José A. Hoyos , Thomas Vojta

It is found that the exact beta-function $\beta(g)$ of the continuous 2D $g\Phi^{4}$ model possesses two types of dual symmetries, these being the Kramers-Wannier (KW) duality symmetry and the weak-strong-coupling symmetry $f(g)$, or…

Statistical Mechanics · Physics 2008-11-26 Boris N. Shalaev
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