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We compute the Schroedinger functional (SF) for the case of pure SU(3) gauge theory at two-loop order in lattice perturbation theory. This allows us to extract the three-loop beta-function in the SF-scheme. These results are required to…

High Energy Physics - Lattice · Physics 2009-10-31 A. Bode , P. Weisz , U. Wolff

As a feasibility study for a scaling test we investigate the behavior of algorithms for dynamical fermions in the N_f=2 Schroedinger functional at an intermediate volume of 1 fm^4. Simulations were performed using HMC with two…

High Energy Physics - Lattice · Physics 2009-11-10 Michele Della Morte , Roland Hoffmann , Francesco Knechtli , Ulli Wolff

The Schroedinger functional provides a valuable tool to perform non-perturbative renormalization on the lattice, in particular in a mass independent scheme. We study two different types of chirally rotated Schroedinger functional boundary…

High Energy Physics - Lattice · Physics 2009-04-14 J. Gonzalez Lopez , K. Jansen , A. Shindler

We present results for the one-loop value of the improvement coefficient $c_\mathrm{SW}$ for Wilson and Brillouin fermions subject to stout smearing or Wilson flow, in combination with Wilson or Symanzik glue. To this end we use a recently…

High Energy Physics - Lattice · Physics 2026-01-21 Maximilian Ammer , Stephan Durr

We perturbatively determine O($a$) boundary improvement coefficients at 1-loop for the Schr\"odinger Functional coupling with improved gauge actions. These coefficients are required to implement the 1-loop O($a$) improvement in full QCD…

High Energy Physics - Lattice · Physics 2015-06-25 Shinji Takeda , Sinya Aoki , Kiyotomo Ide

Using plaquette and Symanzik improved gauge action and stout link clover fermions we determine the improvement coefficient $c_{SW}$ in one-loop lattice perturbation theory from the off-shell quark-quark-gluon three-point function. In…

High Energy Physics - Lattice · Physics 2008-11-26 R. Horsley , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller

We compute the non-Gaussian contribution to the covariance of the matter power spectrum at one-loop order in Standard Perturbation Theory (SPT), and using the framework of the effective field theory (EFT) of large scale structure (LSS). The…

Cosmology and Nongalactic Astrophysics · Physics 2016-06-08 Daniele Bertolini , Katelin Schutz , Mikhail P. Solon , Jonathan R. Walsh , Kathryn M. Zurek

In this work, we study the supersymmetric warped conformal field theory in two dimensions. We show that the Hofman-Strominger theorem on symmetry enhancement could be generalized to the supersymmetric case. More precisely, we find that…

High Energy Physics - Theory · Physics 2020-09-30 Bin Chen , Peng-xiang Hao , Yan-jun Liu

We give a full account of the Numerical Stochastic Perturbation Theory method for Lattice Gauge Theories. Particular relevance is given to the inclusion of dynamical fermions, which turns out to be surprisingly cheap in this context. We…

High Energy Physics - Lattice · Physics 2008-11-26 F. Di Renzo , L. Scorzato

We have studied pseudoscalar correlation functions computed using the overlap operator. Within the accuracy of our calculation we find that the quark mass dependence agrees with the prediction of lowest-order Chiral Perturbation Theory…

High Energy Physics - Lattice · Physics 2015-06-25 Pilar Hernandez , Karl Jansen , Laurent Lellouch , Hartmut Wittig

We present a perturbative calculation of the improvement coefficients of SU(2) gauge theory with adjoint representation Wilson-clover fermions and using Schrodinger functional boundary conditions. The computation of the boundary improvement…

High Energy Physics - Lattice · Physics 2011-05-10 Tuomas Karavirta , Anne-Mari Mykkanen , Jarno Rantaharju , Kari Rummukainen , Kimmo Tuominen

We consider the problem of Dirac fermions propagating on a spacetime of Schr\"odinger isometry and the associated boundary Euclidean two-point function of fermionic scaling operators of the holographic dual non-relativistic conformal…

High Energy Physics - Theory · Physics 2010-03-19 Robert G. Leigh , Nam Nguyen Hoang

The chirally rotated Schr\"odinger functional ($\chi$SF) with massless Wilson-type fermions provides an alternative lattice regularization of the Schr\"odinger functional (SF), with different lattice symmetries and a common continuum limit…

High Energy Physics - Lattice · Physics 2016-08-17 Mattia Dalla Brida , Stefan Sint , Pol Vilaseca

We have calculated the step scaling function and the running coupling of QCD in the Schroedinger functional scheme with four flavors of O(a) improved Wilson quarks. Comparisons of our non-perturbative results with 2-loop and 3-loop…

High Energy Physics - Lattice · Physics 2014-11-21 Fatih Tekin , Rainer Sommer , Ulli Wolff

The Schrieffer-Wolff transformation (SWT) is a foundational perturbative method for deriving effective Hamiltonians in quantum systems by systematically eliminating couplings between pairs of energy distant subspaces. Despite recent…

Quantum Physics · Physics 2024-12-16 Giovanni Francesco Diotallevi , Leander Reascos , Mónica Benito

The clover coefficient $\csw$ is computed at one loop order of perturbation theory for improved gluon actions including six-link loops. The O(a) improvement coefficients for the dimension three isovector composite operators bilinear in the…

High Energy Physics - Lattice · Physics 2009-10-31 S. Aoki , R. Frezzotti , P. Weisz

We investigate an alternative to the Sequential Propagator Method used in Lattice QCD calculations of semileptonic form factors. We replace the sequential propagator with a stochastic propagator so that, in principle, all momentum and sink…

High Energy Physics - Lattice · Physics 2010-11-05 Richard Evans , Gunnar Bali , Sara Collins

The research of strongly coupled beyond-the-standard-model theories has generated significant interest in non-abelian gauge field theories with different number of fermions in different representations. Motivated by the increased interest…

High Energy Physics - Lattice · Physics 2010-11-11 Anne Mykkanen , Jarno Rantaharju , Kari Rummukainen , Tuomas Karavirta , Kimmo Tuominen

We extend the non-relativistic AdS/CFT correspondence to the fermionic fields. In particular we study the two point function of a fermionic operator in non-relativistic CFTs by making use of a massive fermion propagating in geometries with…

High Energy Physics - Theory · Physics 2014-11-18 Amin Akhavan , Mohsen Alishahiha , Ali Davody , Ali Vahedi

We delve into the in-in formalism and derive general expressions for the computation of n-point functions for a self-interacting scalar field by means of a probability density functional (PDF). Even though in typical situations these…

High Energy Physics - Theory · Physics 2019-03-28 Bruno Scheihing Hitschfeld