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We define an effective action for spin foam models of quantum gravity by adapting the background field method from quantum field theory. We show that the Regge action is the leading term in the semi-classical expansion of the spin foam…

General Relativity and Quantum Cosmology · Physics 2011-11-01 A. Mikovic , M. Vojinovic

Lattice QCD calculations using gauge smearing for fermion kernels are computationally efficient. Hypercubic blocking (nHYP smearing) has been shown to reduce scaling errors. In this work we use an improved action for $N_f=2$ QCD, based on…

High Energy Physics - Lattice · Physics 2020-11-18 Hossein Niyazi , Andrei Alexandru , Frank X. Lee , Ruairí Brett

We numerically evaluate the one-loop counterterms for the four-dimensional Wess-Zumino model formulated on the lattice using Ginsparg-Wilson fermions of the overlap (Neuberger) variety, together with an auxiliary fermion (plus…

High Energy Physics - Lattice · Physics 2014-11-21 Chen Chen , Eric Dzienkowski , Joel Giedt

We present a simple derivation of the supersymmetric one-loop effective action of SU(2) Matrix theory by expressing it in a compact exponential form whose invariance under supersymmetry transformations is obvious. This result clarifies the…

High Energy Physics - Theory · Physics 2009-10-31 Hermann Nicolai , Jan Plefka

We construct a Wilson action for the Wess-Zumino model by applying the exact renormalization group perturbatively. Using neither superfields nor auxiliary fields, we construct a supersymmetric action only with complex scalar and Majorana…

High Energy Physics - Theory · Physics 2008-11-26 Hidenori Sonoda , Kayhan Ulker

We study the hadronic spectrum in quenched lattice QCD using an improved Wilson fermion action (Hamber-Wu(1983),Eguchi-Kawamoto(1984)) at $\beta= 5.7$ and $\beta =6.0$. We find a systematic reduction of the finite spacing effects compared…

High Energy Physics - Lattice · Physics 2009-10-22 M. -P. Lombardo , G. Parisi , A. Vladikas

We construct an optimally local perfect lattice action for free scalars of arbitrary mass, and truncate its couplings to a unit hypercube. Spectral and thermodynamic properties of this ``hypercube scalar'' are drastically improved compared…

High Energy Physics - Lattice · Physics 2009-10-30 W. Bietenholz

We consider a scalar field theory with quartic self interaction, Yukawa coupled to fermions in the inflationary de Sitter spacetime background. The scalar has a classical background plus quantum fluctuations, whereas the fermions are taken…

High Energy Physics - Theory · Physics 2025-10-31 Sourav Bhattacharya , Kinsuk Roy

We calculate up to four loops the free energy of the two-dimensional (2D) O(n) nonlinear sigma-model regularized on the lattice with the 0-loop and 1-loop Symanzik improved actions. An effective coupling constant based on this calculation…

High Energy Physics - Lattice · Physics 2009-10-31 B. Alles , M. Pepe

We consider symplectic quaternions instead of unitary spinors sitting on a lattice, and calculate the fixed point Wilson action on a finite $2D$ plane expanded by $u_1 a e_1+ u_2 a e_2$ and on two $2D$ planes separated by $a e_1\wedge e_2$.…

High Energy Physics - Lattice · Physics 2021-07-19 Sadataka Furui

We calculate the third coefficient of the lattice beta function in QCD with Wilson fermions, extending the pure gauge results of Luescher and Weisz; we show how this coefficient modifies the scaling function on the lattice. We also…

High Energy Physics - Lattice · Physics 2009-10-30 B. Alles , C. Christou , A. Feo , H. Panagopoulos , E. Vicari

We study one-loop effective action of Berkooz-Douglas Matrix theory and obtain non-abelian action of D0-branes in the longitudinal 5-brane background. In this paper, we extend the analysis of hep-th/0201248 and calculate the part of the…

High Energy Physics - Theory · Physics 2010-04-05 Masako Asano , Yasuhiro Sekino

In this note we consider a non-linear, large-$N$ ${\mathbb C}P^{N-1}$ sigma model on a finite size interval with periodic boundary conditions, at finite temperature and chemical potential in the regime of $\beta \mu$ large. Our goal is to…

High Energy Physics - Theory · Physics 2021-10-04 Antonino Flachi , Guglielmo Fucci

We determine O($a$) boundary improvement coefficients up to 1-loop level for the Schr\"odinger Functional coupling with improved gauge actions including plaquette and rectangle loops. These coefficients are required to implement 1-loop…

High Energy Physics - Lattice · Physics 2009-11-10 Shinji Takeda , Sinya Aoki , Kiyotomo Ide

Scalar field theory on the fuzzy two-sphere, represented as a hermitian matrix model that includes kinetic, mass and quartic interaction terms, is studied. The effective action in the symmetric large-N regime is analyzed using a…

High Energy Physics - Theory · Physics 2020-03-06 Alexios P. Polychronakos

In the present work we set up a general functional renormalisation group framework for the computation of complex effective actions. For explicit computations we consider both flows of the Wilsonian effective action and the one-particle…

High Energy Physics - Theory · Physics 2023-08-30 Friederike Ihssen , Jan M. Pawlowski

We study the 1/2 BPS circular Wilson loop in four-dimensional SU(N), $N = 2$ SYM theories with massless hypermultiplets and non-vanishing $\beta$-function. Using super-symmetric localization on $S_4$ , we map the path-integral associated…

High Energy Physics - Theory · Physics 2024-10-22 Marco Billo' , Luca Griguolo , Alessandro Testa

We review the approach to calculation of one-loop effective action in ${\cal N}=2,4$ SYM theories. We compute the non-holomorphic corrections to low-energy effective action (higher derivative terms) in ${\cal N}=2$, SU(2) SYM theory coupled…

High Energy Physics - Theory · Physics 2009-12-30 A. T. Banin , I. L. Buchbinder , N. G. Pletnev

We introduce a strategy to write down lattice models of spin rotational symmetric Hamiltonians with arbitrary spin-$S$ that are Marshall positive and can be simulated efficiently using world line Monte Carlo methods. As an application of…

Strongly Correlated Electrons · Physics 2019-10-01 Nisheeta Desai , Ribhu K. Kaul

The Brillouin action is a Wilson-like lattice fermion action with a 81-point stencil, which was found to ameliorate the Wilson action in many respects. The Sheikholeslami-Wohlert coefficient $c_\mathrm{SW}$ of the clover improvement term…

High Energy Physics - Lattice · Physics 2024-02-16 Maximilian Ammer , Stephan Durr