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We outline a general strategy for the non-perturbative renormalisation of composite operators in discretisations based on Neuberger fermions, via a matching to results obtained with Wilson-type fermions. As an application, we consider the…

High Energy Physics - Lattice · Physics 2009-11-11 P. Dimopoulos , L. Giusti , P. Hernandez , F. Palombi , C. Pena , A. Vladikas , J. Wennekers , H. Wittig

We develop a functional renormalization group approach which describes the low-energy single-particle properties of the Anderson impurity model up to intermediate on-site interactions $U \lesssim 15 \Delta$, where $\Delta$ is the…

Strongly Correlated Electrons · Physics 2009-09-29 Lorenz Bartosch , Hermann Freire , Jose Juan Ramos Cardenas , Peter Kopietz

The functional renormalisation group is applied to the effective action for scattering of two nonrelativistic fermions. The resulting physical effective action is shown to contain the correct threshold singularity. The corresponding "bare"…

Nuclear Theory · Physics 2008-11-26 Michael C. Birse

We investigate composite models of gravity and explore how dynamical tensor fields can emerge within the functional renormalization group framework. We consider two prototype models: a fermionic theory and a scalar theory. In both cases, an…

High Energy Physics - Theory · Physics 2026-04-30 Yadikaer Maitiniyazi , Masatoshi Yamada

Using overlap as well as Wilson fermions, we have computed the one-loop renormalization factors of ten non-singlet operators which measure the third moment of quark momentum and helicity distributions (the lowest two having been computed in…

High Energy Physics - Lattice · Physics 2009-10-31 Stefano Capitani

We study perturbative quantum gravity in the first-order tetrad formalism. The lowest order action corresponds to Einstein-Cartan plus a parity-odd term, and is known in the literature as the Holst action. The coupling constant of the…

High Energy Physics - Theory · Physics 2011-07-04 Dario Benedetti , Simone Speziale

We explore generalized symmetry in the context of nonlinear dynamical gravity. Our basic strategy is to transcribe known results from Yang-Mills theory directly to gravity via the tetrad formalism, which recasts general relativity as a…

High Energy Physics - Theory · Physics 2024-03-05 Clifford Cheung , Maria Derda , Joon-Hwi Kim , Vinicius Nevoa , Ira Rothstein , Nabha Shah

We calculate the lowest order quantum gravity contributions to QED beta function in an effective field theory picture with a momentum cutoff. We use a recently proposed 4 dimensional improved momentum cutoff that preserves gauge and Lorentz…

High Energy Physics - Phenomenology · Physics 2015-06-16 G. Cynolter , E. Lendvai

We reanalyze the construction of the gravitational functional renormalization group equation tailored to the Arnowitt-Deser-Misner formulation emphasizing its connection to the covariant formulation. The results obtained from projecting the…

High Energy Physics - Theory · Physics 2018-07-04 Alessia Platania , Frank Saueressig

The exact renormalization group is used to study the RG flow of quantities in field theories. The basic idea is to write an evolution operator for the flow and evaluate it in perturbation theory. This is easier than directly solving the…

High Energy Physics - Theory · Physics 2022-05-18 Prafulla Oak , B. Sathiapalan

We present a semiclassical framework in which stress-tensor deformations of a quantum field theory (QFT) reorganize into a gravitational action evaluated at a metric saddle. The deformed partition function can be written as a gravitational…

High Energy Physics - Theory · Physics 2026-04-08 Yun-Ze Li , Yunfei Xie , Song He

Based on considerations in conformal gauge I derive up to nextleading order a relation between the coefficients of beta-functions in 2D renormalizable field theories before and after coupling to gravity. The result implies a coupling…

High Energy Physics - Theory · Physics 2009-10-28 H. Dorn

One of the main advantages of super-renormalizable higher derivative quantum gravity models is the possibility to derive exact beta functions, by making perturbative one-loop calculations. We perform such a calculation for the Newton…

High Energy Physics - Theory · Physics 2018-07-11 Leonardo Modesto , Leslaw Rachwal , Ilya L. Shapiro

We present a fermion model characterized by an anticommuting-parameter shift symmetry. The Hamiltonian formulation exhibits a combination of first-class and second-class constraints. We derive the well-known Dirac equation by fixing the…

High Energy Physics - Theory · Physics 2023-06-30 Mauricio Valenzuela

A renormalization group study of a scalar theory coupled to gravity through a general functional dependence on the Ricci scalar in the action is discussed. A set of non-perturbative flow equations governing the evolution of the new…

High Energy Physics - Phenomenology · Physics 2009-10-30 Alfio Bonanno , Dario Zappalá

In the average action approach to the quantization of gravity the fundamental requirement of "background independence" is met by actually introducing a background metric but leaving it completely arbitrary. The associated Wilsonian…

General Relativity and Quantum Cosmology · Physics 2010-03-02 Elisa Manrique , Martin Reuter

The classical and quantum dynamics of the Friedmann-Robertson-Walker Universe with massless scalar and massive fermion matter field as a source is discussed in the framework of the Dirac generalized Hamiltonian formalism. The Hamiltonian…

General Relativity and Quantum Cosmology · Physics 2009-11-07 A. M. Khvedelidze , Yu. G. Palii

We calculate the running of the three coupling constants in cosmological, topologically massive 3d gravity. We find that \nu, the dimensionless coefficient of the Chern-Simons term, has vanishing beta function. The flow of the cosmological…

High Energy Physics - Theory · Physics 2015-05-18 R. Percacci , E. Sezgin

The inconsistency between the fixed-order (FO) and contour-improved (CI) representation of the QCD corrections to the inclusive hadronic tau decay width limits the precision to which the strong coupling can be determined from this process.…

High Energy Physics - Phenomenology · Physics 2023-09-21 Martin Beneke , Hiromasa Takaura

We construct a special-purpose functional flow equation which facilitates non-perturbative renormalization group (RG) studies on theory spaces involving a large number of independent field components that are prohibitively complicated using…

High Energy Physics - Theory · Physics 2015-06-23 Ulrich Harst , Martin Reuter
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