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We revisit the strong coupling limit of the Schwinger model on the lattice using staggered fermions and the hamiltonian approach to lattice gauge theories. Although staggered fermions have no continuous chiral symmetry, they posses a…

High Energy Physics - Lattice · Physics 2016-08-25 F. Berruto , G. Grignani , G. W. Semenoff , P. Sodano

In a previous publication, we have constructed the Schr\"odinger functional in Wilson's lattice QCD. It was found that the naive continuum limit leads to a well-defined classical continuum theory. Starting from the latter, a formal…

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

We have measured the running coupling constant of SU(3) gauge theory coupled to Nf=2 flavors of symmetric representation fermions, using the Schrodinger functional scheme. Our lattice action is defined with hypercubic smeared links which,…

High Energy Physics - Lattice · Physics 2014-11-21 Thomas DeGrand , Yigal Shamir , Benjamin Svetitsky

The contributions of the improved fermion action of Sheikholeslami and Wohlert to the two loop coefficient of the expansion of the Schroedinger functional coupling in terms of the lattice coupling are calculated for the gauge group SU(3).…

High Energy Physics - Lattice · Physics 2015-06-25 A. Bode , P. Weisz , U. Wolff

In pure SU(2) gauge theory we compute the two-loop coefficient in the relation between the lattice bare coupling and the running coupling defined through the Schroedinger functional. This result is required to relate the latter to the…

High Energy Physics - Lattice · Physics 2009-10-22 Ulli Wolff

We compute the two loop coefficient in the relation between the lattice bare coupling and the running coupling defined through the Schroedinger functional for the case of pure SU(2) gauge theory. This result is needed as one computational…

High Energy Physics - Lattice · Physics 2016-08-31 Rajamani Narayanan , Ulli Wolff

Using orbifold techniques I construct the Schrodinger functional (SF) for a doublet of Wilson quarks with chirally rotated boundary conditions. This allows to perform checks of universality: for instance, the renormalized SF coupling…

High Energy Physics - Lattice · Physics 2007-05-23 Stefan Sint

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

I propose a new method to determine the running coupling in a Schrodinger-functional setup. The method utilizes the scattering amplitude of massless fermions propagating between the time boundaries. Preliminary tests show the statistical…

High Energy Physics - Lattice · Physics 2011-10-28 Yigal Shamir

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

The set-up of the QCD Schr\"odinger functional (SF) on the lattice with staggered quarks requires an even number of points $L/a$ in the spatial directions, while the Euclidean time extent of the lattice, $T/a$, must be odd. Identifying a…

High Energy Physics - Lattice · Physics 2012-01-19 Paula Pérez-Rubio , Stefan Sint , Shinji Takeda

In the strong coupling limit, $n$-point functions in lattice QCD with staggered fermions can be rewritten exactly as sums over constrained configurations of monomers, dimers, and baryon loops covering the spacetime lattice. Worm algorithms…

High Energy Physics - Lattice · Physics 2017-02-01 Philippe de Forcrand , Paul Romatschke , Wolfgang Unger , Helvio Vairinhos

Staggered fermions are constructed for the transverse lattice regularization scheme. The weak perturbation theory of transverse lattice non-compact QED is developed in light-cone gauge, and we argue that for fixed lattice spacing this…

High Energy Physics - Theory · Physics 2009-10-22 Paul A. Griffin

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

We study strong-coupling lattice QCD with staggered-Wilson fermions, with emphasis on discrete symmetries and possibility of their spontaneous breaking. We perform hopping parameter expansion and effective potential analyses in the…

High Energy Physics - Lattice · Physics 2012-08-09 Tatsuhiro Misumi , Takashi Z. Nakano , Taro Kimura , Akira Ohnishi

We study SU(2) gauge theory with two Dirac fermions in the adjoint representation of the gauge group on the lattice. Using clover improved Wilson fermion action with hypercubic truncated stout smearing we perform simulations at larger…

High Energy Physics - Lattice · Physics 2016-05-27 Jarno Rantaharju , Teemu Rantalaiho , Kari Rummukainen , Kimmo Tuominen

Lattice simulations on SU(2) and SU(3) gauge theories with matter fields in the fundamental, adjoint and two index symmetric representations are needed to determine if these theories are near or within the conformal window as required for…

High Energy Physics - Lattice · Physics 2015-06-03 T. Karavirta , K. Rummukainen , K. Tuominen

The recently proposed construction of chiral fermions on lattices with boundaries is tested in an interacting theory up to first order of perturbation theory. We confirm that, in the bulk of the lattice, the chiral Ward identities take…

High Energy Physics - Lattice · Physics 2011-07-04 Bjorn Leder

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

A non perturbative finite size scaling technique is used to study a running coupling in lattice Yang-Mills theory coupled to a bosonic Wilson spinor field in the Schr\"odinger functional scheme. This corresponds to two negative flavours.…

High Energy Physics - Lattice · Physics 2015-06-25 Juri Rolf , Ulli Wolff