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I review the problem of formulating chiral symmetry in lattice gauge theory. I discuss recent approaches involving an infinite tower of additional heavy states to absorb Fermion doublers. For hadronic physics this provides a natural scheme…

High Energy Physics - Lattice · Physics 2007-05-23 Michael Creutz

It has been known for a while that there is spontaneous breaking of Lorentz symmetry in the nonzero charged sectors of quantum electrodynamics due to the infrared problem of soft photons. More recently, it has also been suggested that…

High Energy Physics - Theory · Physics 2018-09-19 A. P. Balachandran , V. P. Nair

The stability of spin-glass (SG) phase is analyzed in detail for a fermionic Ising SG (FISG) model in the presence of a magnetic transverse field $\Gamma$. The fermionic path integral formalism, replica method and static approach have been…

Disordered Systems and Neural Networks · Physics 2009-11-13 S. G. Magalhaes , F. M. Zimmer , C. V. Morais

We report new results on the conformal properties of an important strongly coupled gauge theory, a building block of composite Higgs models beyond the Standard Model. With twelve massless fermions in the fundamental representation of the…

High Energy Physics - Lattice · Physics 2016-11-22 Zoltan Fodor , Kieran Holland , Julius Kuti , Santanu Mondal , Daniel Nogradi , Chik Him Wong

The SU(3) gauge theory with fermions in the sextet representation is one of several theories of interest for technicolor models. We have carried out a Schrodinger functional (SF) calculation for the lattice theory with two flavors of Wilson…

High Energy Physics - Lattice · Physics 2010-01-15 Benjamin Svetitsky , Yigal Shamir , Thomas DeGrand

We study whether applying lattice projectors on a vector-like Ginsparg-Wilson Dirac operator is the only way to construct left-handed lattice fermions. Using RG transformations we derive an equation for the generating functional on the…

High Energy Physics - Lattice · Physics 2009-04-14 Christof Gattringer , Markus Pak

It is widely believed that the fermion determinant cannot be treated in global acceptance-rejection steps of gauge link configurations that differ in a large fraction of the links. However, for exact factorizations of the determinant that…

High Energy Physics - Lattice · Physics 2015-06-04 Jacob Finkenrath , Francesco Knechtli , Björn Leder

The parity and time-reversal invariant effective lagrangian for a heavy fermion interacting with an abelian gauge field, i.e., NRQED, is constructed through order $1/M^4$. The implementation of Lorentz invariance in the effective theory…

High Energy Physics - Phenomenology · Physics 2013-04-03 Richard J. Hill , Gabriel Lee , Gil Paz , Mikhail P. Solon

Technological progress in material synthesis, as well as artificial realization of condensed matter scenarios via ultra-cold atomic gases in optical lattices or epitaxial growth of thin films, is opening the gate to investigate a plethora…

Superconductivity · Physics 2015-06-17 Christian Platt , Werner Hanke , Ronny Thomale

We propose the creation and investigation of a system of spin-one fermions in the presence of artificial spin-orbit coupling, via the interaction of three hyperfine states of fermionic atoms to Raman laser fields. We explore the emergence…

Quantum Gases · Physics 2016-09-22 Doga Murat Kurkcuoglu , C. A. R. Sa de Melo

We describe a new formulation of the functional renormalization group (RG) for interacting fermions within a Wilsonian momentum-shell approach. We show that the Luttinger-Ward functional is a fixed point of the RG, and derive the infinite…

Strongly Correlated Electrons · Physics 2007-05-23 N. Dupuis

The shell structures for weakly interacting fermions in harmonic oscillator traps at zero temperature undergo several transitions depending on the number of particles in the trap and their interaction strength. Calculations of the one and…

Condensed Matter · Physics 2011-07-19 Henning Heiselberg , Ben Mottelson

New results are reported from large scale lattice simulations of a frequently discussed strongly interacting gauge theory with a fermion flavor doublet in the two-index symmetric (sextet) representation of the SU(3) color gauge group. We…

High Energy Physics - Lattice · Physics 2015-06-11 Zoltán Fodor , Kieran Holland , Julius Kuti , Dániel Nógrádi , Chris Schroeder , Chik Him Wong

Real Space Renormalization Group (RSRG) treatment of Ising model for square and simple cubic lattice is investigated and critical coupling strengths of these lattices are obtained. The mathematical complications, which appear inevitable in…

Statistical Mechanics · Physics 2018-09-26 Tuncer Kaya

We give a new perspective on the dynamics of conformal theories realized in the SU(N) gauge theory, when the number of flavors N_f is within the conformal window. Motivated by the RG argument on conformal theories with a finite IR cutoff…

High Energy Physics - Lattice · Physics 2015-06-12 K. -I. Ishikawa , Y. Iwasaki , Yu Nakayama , T. Yoshie

From the quantum field theory point of view, matter and gauge fields are generally expected to be localised around branes or topological defects occurring in extra dimensions. Here I discuss a simple scenario where, by starting with a five…

High Energy Physics - Theory · Physics 2007-05-23 Gonzalo A. Palma

We consider simple CFT models which contain massless bosons, or massless fermions or a supersymmetric combination of the two, on the strip. We study the deformations of these models by relevant boundary operators. In particular, we work out…

High Energy Physics - Theory · Physics 2009-10-31 Tasneem Zehra Husain , Maxim Zabzine

In a recent article Hasenfratz and von Allmen have suggested a fixed point action for two flavors of Weyl fermions on the lattice with gauge group SU(2). The block-spin transformation they use maps the chiral and vector symmetries of the…

High Energy Physics - Lattice · Physics 2008-11-26 Christof Gattringer , Markus Pak

We present a numerical study of spectroscopic observables in the SU(2) gauge theory with two adjoint fermions using improved source and sink operators. We compare in detail our improved results with previous determinations of masses that…

We report on the observation of anti-ferromagnetic correlations of ultracold fermions in a variety of optical lattice geometries that are well described by the Hubbard model, including dimers, 1D chains, ladders, isolated and coupled…

Quantum Gases · Physics 2015-12-30 Daniel Greif , Gregor Jotzu , Michael Messer , Rémi Desbuquois , Tilman Esslinger