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This paper is the third in a series devoted to the development of a rigorous renormalisation group method for lattice field theories involving boson fields, fermion fields, or both. In this paper, we motivate and present a general approach…

Mathematical Physics · Physics 2015-06-19 Roland Bauerschmidt , David C. Brydges , Gordon Slade

We discuss kinematical enhancements of cutoff effects at short and intermediate distances. Starting from a pedagogical example with periodic boundary conditions, we switch to the case of the Schroedinger Functional, where the theoretical…

High Energy Physics - Lattice · Physics 2009-03-04 Michele Della Morte , Rainer Sommer , Shinji Takeda

We obtain lattice models whose continuum limits correspond to $N=2$ superconformal coset models. This is done by taking the well known vertex model whose continuum limit is the $G \times G/G$ conformal field theory, and twisting the…

High Energy Physics - Theory · Physics 2009-10-22 Z. Maassarani , D. Nemeschansky , N. P. Warner

The interference between spin-density-wave and superconducting instabilities in quasi-one-dimensional correlated metals is analyzed using the renormalization group method. At the one-loop level, we show how the interference leads to a…

Strongly Correlated Electrons · Physics 2009-11-07 Raphael Duprat , C. Bourbonnais

We studied the statics and dynamics of elastic manifolds in disordered media with long-range correlated disorder using functional renormalization group (FRG). We identified different universality classes and computed the critical exponents…

Disordered Systems and Neural Networks · Physics 2017-08-23 Andrei A. Fedorenko

The Schr\"odinger functional in Wilson's lattice QCD leads to a sensible classical continuum theory which can be taken as starting point for a perturbative analysis. In dimensional regularization, the saddle point expansion of the…

High Energy Physics - Lattice · Physics 2009-10-28 Stefan Sint

We study the behavior of the renormalized sextic coupling at the intermediate and strong coupling regime for the $\phi^4 $ theory defined in $d=2$-dimension. We found a good agreement with the results obtained by the field-theoretical…

High Energy Physics - Lattice · Physics 2009-11-11 Gino N. J. Ananos

Predicting phenomena that mix few-photon quantum optics with strong field nonlinear optics is hindered by the use of separate theoretical formalisms for each regime. We close this gap with a unified effective field theory valid for…

Optics · Physics 2025-12-30 Xiaochen Liu , Ken-Tye Yong

Taking into account the negative results of direct searches for beyond the Standard Model fields and the consequent mass gap between Standard Model and possible unknown states, the use of electroweak effective theories is justified. Whereas…

High Energy Physics - Phenomenology · Physics 2019-02-12 Ignasi Rosell , Claudius Krause , Antonio Pich , Joaquín Santos , Juan José Sanz-Cillero

We present a perturbative approach to the study of the Hofstadter model for when the amount of flux per plaquette is close to a rational fraction. Within this approximation certain eigenstates of the system are shown to be multi-component…

Strongly Correlated Electrons · Physics 2014-08-19 Fenner Harper , Steven H. Simon , Rahul Roy

Interacting fixed points in four-dimensional gauge theories coupled to matter are investigated using perturbation theory up to three loop order. It is shown how fixed points, scaling exponents, and anomalous dimensions are obtained as a…

High Energy Physics - Theory · Physics 2018-02-28 Andrew D. Bond , Daniel F. Litim , Gustavo Medina Vazquez , Tom Steudtner

In this work we calculate the corrections to the amputated Green's functions of 4-fermion operators, in 1-loop Lattice Perturbation theory. One of the novel aspects of our calculations is that they are carried out to O(a^2) (a: lattice…

In a coupled-channel model, we explore the effects of coupling between configurations on the radial behavior of the wave function and, in particular, on the spectroscopic factor (SF) and the asymptotic normalization coefficient (ANC). We…

Nuclear Theory · Physics 2010-12-10 P. Capel , P. Danielewicz , F. M. Nunes

We consider scenarios where strong conformal dynamics constitutes the ultraviolet completion of the physics that drives electroweak symmetry breaking. We show that in theories where the operator responsible for the breaking of conformal…

High Energy Physics - Phenomenology · Physics 2013-06-25 Zackaria Chacko , Rashmish K. Mishra

We derive a correct first-order perturbation theory in electromagnetism for cases where an interface between two anisotropic dielectric materials is slightly shifted. Most previous perturbative methods give incorrect results for this case,…

Optics · Physics 2009-11-13 Chris Kottke , Ardavan Farjadpour , Steven G. Johnson

In this work, we present an experimental investigation of the fuse model. Our main goal was to study the influence of the disorder on the fracture process. The experimental apparatus used consisted of an $L\times L$ square lattice with…

Statistical Mechanics · Physics 2009-11-11 D. R. Otomar , I. L. Menezes-Sobrinho , M. S Couto

We examine the effects of standard model-like interactions on the near-conformal dynamics of a theory featuring a dilatonic state identified with the standard model-like Higgs. As template for near-conformal dynamics we use a gauge theory…

High Energy Physics - Phenomenology · Physics 2015-06-15 Oleg Antipin , Jens Krog , Esben Mølgaard , Francesco Sannino

Walking technicolor theory attempts to realize electroweak symmetry breaking as the spontaneous chiral symmetry breakdown caused by the gauge dynamics with slowly varying gauge coupling constant and large mass anomalous dimension.…

High Energy Physics - Lattice · Physics 2011-05-12 M. Hayakawa , K. -I. Ishikawa , Y. Osaki , S. Takeda , S. Uno , N. Yamada

Superconducting instability can occur in three-dimensional quadratic band crossing semimetals only at a finite coupling strength, due to the vanishing of density of states at the quadratic band touching point. Since realistic materials are…

Strongly Correlated Electrons · Physics 2022-02-14 Ipsita Mandal

We study conformal quantum mechanics by first considering the perturbative $S$-matrix in various dimensions. The model has two couplings and we study perturbatively the degree of ultraviolet divergences arising in the interplay between the…

Quantum Physics · Physics 2026-04-20 Jacob Hafjall , Thomas A. Ryttov
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