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Based on a detailed symmetry analysis, we state the general rules to build up the effective low energy field theory describing a system of electrons weakly interacting with the lattice degrees of freedom. The basic elements in our…

Strongly Correlated Electrons · Physics 2016-10-19 D. C. Cabra , N. E. Grandi , G. A. Silva , M. B. Sturla

A system of fermions with short-range interactions at finite density is studied using the framework of effective field theory. The effective action formalism for fermions with auxiliary fields leads to a loop expansion in which…

Nuclear Theory · Physics 2009-11-07 R. J. Furnstahl , H. -W. Hammer

The ALPHA collaboration has determined the O(a) improved Wilson quark action for lattice spacings $a\leq 0.1$ fm, in the quenched approximation. We extend this result to coarser lattices, $a\leq 0.17$ fm, and calculate the hadron spectrum…

High Energy Physics - Lattice · Physics 2009-10-30 R. G. Edwards , U. M. Heller , T. R. Klassen

We report on our study of two-flavor full QCD on anisotropic lattices using $O(a)$-improved Wilson quarks coupled with an RG-improved glue. The bare gauge and quark anisotropies corresponding to the renormalized anisotropy $\xi=a_s/a_t = 2$…

Several physical problems in particle physics, nuclear physics, and astrophysics require information from non-perturbative QCD to gain a full understanding. In some cases the most reliable technique for quantitative results is to carry out…

High Energy Physics - Lattice · Physics 2016-11-23 Andreas S. Kronfeld

We advocate an effective field theory approach to anomalous couplings. The effective field theory approach is the natural way to extend the standard model such that the gauge symmetries are respected. It is general enough to capture any…

High Energy Physics - Phenomenology · Physics 2015-06-05 Celine Degrande , Nicolas Greiner , Wolfgang Kilian , Olivier Mattelaer , Harrison Mebane , Tim Stelzer , Scott Willenbrock , Cen Zhang

We review an effective field theory for the non-Fermi liquid regime of dense QCD matter. Non-Fermi liquid effects arise due the presence of unscreened magnetic gluon exchanges. We show that there is a systematic low energy expansion in…

High Energy Physics - Phenomenology · Physics 2008-11-26 Thomas Schaefer

We study hadron properties near the deconfining transition in the quenched lattice QCD simulation. This paper focuses on the heavy quarkonium states, such as $J/\psi$ meson. In order to treat heavy quarks at $T>0$, we adopt the $O(a)$…

High Energy Physics - Lattice · Physics 2009-10-31 T. Umeda , R. Katayama , O. Miyamura , H. Matsufuru

We formulate the massive overlap fermions on anisotropic lattices. We find that the dispersion relation for the overlap fermion resembles the continuum form in the low-momentum region once the bare parameters are properly tuned. The quark…

High Energy Physics - Lattice · Physics 2010-10-27 Xin Li , Guozhan Meng , Xu Feng , Chuan Liu

We develop the complete theory for the collective plasmon modes of an interacting electron system in the presence of explicit mass (or velocity) anisotropy in the corresponding non-interacting situation, with the effective Fermi velocity…

Mesoscale and Nanoscale Physics · Physics 2021-01-27 Seongjin Ahn , S. Das Sarma

We develop the effective field theoretical descriptions of spin systems in the presence of symmetry-breaking effects: the magnetic field, single-ion anisotropy, and Dzyaloshinskii-Moriya interaction. Starting from the lattice description of…

Mesoscale and Nanoscale Physics · Physics 2021-10-07 Masaru Hongo , Toshiaki Fujimori , Tatsuhiro Misumi , Muneto Nitta , Norisuke Sakai

The low-energy structure of hadrons can be described systematically using effective field theory, and the parameters of the effective theory can be determined from lattice QCD computations. Recent work, however, points to inconsistencies…

High Energy Physics - Phenomenology · Physics 2014-03-26 Jong-Wan Lee , Brian C. Tiburzi

We investigate a new class of improved relativistic fermion action on the lattice with a criterion to give excellent energy-momentum dispersion relation as well as to be consistent with tree-level $O\left(a^{2}\right)$-improvement. Main…

High Energy Physics - Lattice · Physics 2013-12-18 Yong-Gwi Cho , Shoji Hashimoto , Jun-Ichi Noaki , Andreas Jüttner , Marina Marinkovic

The low energy quasiparticle dispersion of various narrow gap and gapless semiconductors are respectively described by three dimensional massive and massless Dirac fermions. The three dimensional Dirac spinor structure admits a…

Mesoscale and Nanoscale Physics · Physics 2012-11-19 Pallab Goswami , Bitan Roy

Lattice field theory is a non-perturbative tool for studying properties of strongly interacting field theories, which is particularly amenable to numerical calculations and has quantifiable systematic errors. In these lectures we apply…

Nuclear Theory · Physics 2017-06-28 Amy N. Nicholson

By integrating out the heavy fields in type II or heterotic string field theory one can construct the effective action for the light fields. This effective theory inherits all the algebraic structures of the parent theory and the effective…

High Energy Physics - Theory · Physics 2017-03-08 Ashoke Sen

We discuss weak coupling perturbation theory for lattice actions in which the fermions couple to smeared gauge links. The normally large integrals that appear in lattice perturbation theory are drastically reduced. Even without detailed…

High Energy Physics - Lattice · Physics 2015-06-25 C. Bernard , T. DeGrand

We apply the general principles of effective field theories to the construction of effective interactions suitable for few- and many-body calculations in a no-core shell model framework. We calculate the spectrum of systems with three and…

Other Condensed Matter · Physics 2008-11-26 I. Stetcu , B. R. Barrett , U. van Kolck , J. P. Vary

We investigate the Symanzik improvement of the Wilson quark action on anisotropic lattices. Taking first a general action with nearest-neighbor and clover interactions, we study the mass dependence of the ratio of the hopping parameters,…

High Energy Physics - Lattice · Physics 2014-11-17 Junpei Harada , Andreas S. Kronfeld , Hideo Matsufuru , Noriaki Nakajima , Tetsuya Onogi

We study the effects of anisotropic hopping amplitudes on quantum phases of ultracold fermions in optical lattices described by the repulsive Fermi-Hubbard model. In particular, using dynamical mean-field theory (DMFT) we investigate the…

Quantum Gases · Physics 2015-11-03 Anna Golubeva , Andrii Sotnikov , Walter Hofstetter