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We construct the field theory which describes the universal properties of the quasi-static isotropic depinning transition for interfaces and elastic periodic systems at zero temperature, taking properly into account the non-analytic form of…

Condensed Matter · Physics 2009-11-07 Pierre Le Doussal , Kay Joerg Wiese , Pascal Chauve

We study the zero-frequency current noise of the interacting resonant level model for arbitrary bias voltages using a functional renormalization group approach. For this we extend the existing nonequilibrium scheme by deriving and solving…

Mesoscale and Nanoscale Physics · Physics 2016-02-08 T. J. Suzuki , D. M. Kennes , V. Meden

We discuss the renormalisation of mixed 3-point functions involving tensorial and scalar operators in conformal field theories of general dimension. In previous work we analysed correlators of either purely scalar or purely tensorial…

High Energy Physics - Theory · Physics 2018-12-12 Adam Bzowski , Paul McFadden , Kostas Skenderis

We show that with suitable choices of parametrization, gauge fixing and cutoff, the anomalous variation of the effective action under global rescalings of the background metric is identical to the derivative with respect to the cutoff, i.e.…

High Energy Physics - Theory · Physics 2017-03-08 Roberto Percacci , Gian Paolo Vacca

The Sine Gordon theory is generalized to include several cosine terms. This is similar to the world sheet description of a string propagating in a tachyon background. This model is studied as a (boundary) 2d euclidean field theory and also…

High Energy Physics - Theory · Physics 2019-03-12 Prafulla Oak , B. Sathiapalan

Recently, B. Gerganov, A. LeClair and M. Moriconi [Phys. Rev. Lett. 86 (2001) 4753] have proposed an "exact" (all orders) beta-function for 2-dimensional conformal field theories with Kac-Moody current-algebra symmetry at any level k, based…

Condensed Matter · Physics 2009-07-10 Andreas W. W. Ludwig , Kay Joerg Wiese

We develop a basis--covariant one--loop renormalization framework for two interacting real scalars in $D=4-\epsilon$ with the most general two--derivative Lorentz--violating quadratic form, allowing anisotropic spatial gradients and…

High Energy Physics - Theory · Physics 2026-02-03 Dmitry S. Ageev , Yulia A. Ageeva

Using non-equilibrium Green's functions (NEGF), we calculate the current through an interacting region connected to non-interacting leads. The problem is reformulated in such a way that a Landauer-like term appears in the current as well as…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 H. Ness , L. K. Dash , R. W. Godby

In an earlier publication, we have introduced a method to obtain, at large N, the effective action for d-dimensional manifolds in a N-dimensional disordered environment. This allowed to obtain the Functional Renormalization Group (FRG)…

Disordered Systems and Neural Networks · Physics 2010-04-05 Pierre Le Doussal , Kay Joerg Wiese

Using differential renormalization, we calculate the complete two-point function of the background gauge superfield in pure N=1 Supersymmetric Yang-Mills theory to two loops. Ultraviolet and (off-shell) infrared divergences are renormalized…

High Energy Physics - Theory · Physics 2009-11-07 J. Mas , M. Perez-Victoria , C. Seijas

We determine the full set of coefficients for the completely general 4-loop gauge and 3-loop Yukawa $ \beta $-functions for the most general renormalizable four-dimensional theories. Using a complete parametrization of the $ \beta…

High Energy Physics - Phenomenology · Physics 2022-01-26 Joshua Davies , Florian Herren , Anders Eller Thomsen

First, we reformulate RG transformations in a recursive way with introduction of an order-parameter field. As a result, we manifest the RG flow of an effective field theory through the emergence of an extra dimensional space, where both RG…

Strongly Correlated Electrons · Physics 2020-08-05 Ki-Seok Kim

The validity of the renormalization group approach for large $N$ is clarified by using the vector model as an example. An exact difference equation is obtained which relates free energies for neighboring values of $N$. The reparametrization…

High Energy Physics - Theory · Physics 2009-10-22 Saburo Higuchi , Chigak Itoi , Norisuke Sakai

Large-$N$ renormalization group equations for one- and two-matrix models are derived. The exact renormalization group equation involving infinitely many induced interactions can be rewritten in a form that has a finite number of coupling…

High Energy Physics - Theory · Physics 2014-03-25 Saburo Higuchi , Chigak Itoi , Shinsuke Nishigaki , Norisuke Sakai

We compute the beta functions for the three gauge couplings of the Standard Model in the minimal subtraction scheme to three loops. We take into account contributions from all sectors of the Standard Model. The calculation is performed…

High Energy Physics - Phenomenology · Physics 2015-06-11 Luminita N. Mihaila , Jens Salomon , Matthias Steinhauser

We investigate the critical behavior that d-dimensional systems with short-range forces and a n-component order parameter exhibit at Lifshitz points whose wave-vector instability occurs in a m-dimensional isotropic subspace of ${\mathbb…

Statistical Mechanics · Physics 2009-11-07 M. Shpot , H. W. Diehl

We compute the QED beta function using a new method of functional integration. It turns out that in this procedure the beta function contains only the first two orders coefficients and thus corresponds to a new renormalization scheme, long…

High Energy Physics - Theory · Physics 2014-07-24 Renata Jora , Joseph Schechter

We consider the problem of determining the beta-functions for any reduced effective field theory. Even though not all the Green's functions of a reduced effective field theory are renormalizable, unlike the full effective field theory,…

High Energy Physics - Phenomenology · Physics 2010-02-03 Martin B. Einhorn , Jose Wudka

We derive and solve flow equations for a general O(N)-symmetric effective potential including wavefunction renormalization corrections combined with a heat-kernel regularization. We investigate the model at finite temperature and study the…

High Energy Physics - Phenomenology · Physics 2009-10-31 O. Bohr , B. -J. Schaefer , J. Wambach

We argue that in general renormalizable field theories the topological angles may develop an additive beta function starting no earlier than 2-loop order. The leading expression is uniquely determined by a single model-independent…

High Energy Physics - Phenomenology · Physics 2023-02-15 Alessandro Valenti , Luca Vecchi