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We introduce a framework for realizing universal fermionic quantum processing with globally controlled itinerant fermionic particles. Our approach is tailored to the example of neutral atoms in optical lattices, but transposes to other…

Turing machines and spin models share a notion of universality according to which some simulate all others. Is there a theory of universality that captures this notion? We set up a categorical framework for universality which includes as…

Computational Complexity · Computer Science 2024-09-04 Tomáš Gonda , Tobias Reinhart , Sebastian Stengele , Gemma De les Coves

In the limit of many fermion flavors it is demonstrated that the sextic Gross-Neveu theory in three dimensions displays a line of interacting UV fixed points, characterised by an exactly marginal sextic interaction. We determine the…

High Energy Physics - Theory · Physics 2023-05-30 Charlie Cresswell-Hogg , Daniel F. Litim

We present finite-temperature, lattice Monte Carlo calculations of the particle number density, compressibility, pressure, and Tan's contact of an unpolarized system of short-range, attractively interacting spin-1/2 fermions in one spatial…

Quantum Gases · Physics 2015-03-18 M. D. Hoffman , P. D. Javernick , A. C. Loheac , W. J. Porter , E. R. Anderson , J. E. Drut

In 2+1 dimensions, Dirac fermions in reducible, i.e. four-component representations of the spinor algebra form the basis of many interesting model field theories and effective descriptions of condensed matter phenomena. This paper explores…

High Energy Physics - Lattice · Physics 2015-08-25 Simon Hands

We consider a finite size scaling function across a topological phase transition in 1D models. For models of non-interacting fermions it was shown to be universal for all topological symmetry classes and markedly asymmetric between trivial…

Statistical Mechanics · Physics 2020-07-01 Yuting Wang , Hao Zhang , Alex Kamenev

We investigate the properties of staggered-fermion lattice QCD in which the fourth root of the fermion determinant is taken. We show that this theory is non-local at non-zero lattice spacing $a$, and that the non-locality is caused by the…

High Energy Physics - Lattice · Physics 2008-11-26 Claude Bernard , Maarten Golterman , Yigal Shamir

We construct a number of lattice fermions, which fulfill the Ginsparg-Wilson relation either exactly or approximately, and test them in the framework of the 2-flavor Schwinger model. We start from explicit approximations within a short…

High Energy Physics - Lattice · Physics 2010-11-19 W. Bietenholz , I. Hip

A nonperturbative regularization of the Standard Model may have a superficially undesirable exact global U(1) symmetry corresponding to exact fermion number conservation. We argue that such a formulation can still have the desired physics…

High Energy Physics - Lattice · Physics 2009-10-22 Wolfgang Bock , James E. Hetrick , Jan Smit

We propose a scenario which accommodates all the masses and mixings of the SM fermions in a model of warped extra-dimensions with all matter fields in the bulk. In this scenario, the same flavor symmetric structure is imposed on all the…

High Energy Physics - Phenomenology · Physics 2015-06-19 Mariana Frank , Cherif Hamzaoui , Nima Pourtolami , Manuel Toharia

An important unanswered question in quantum field theory is to understand precisely under which conditions scale invariance implies invariance under the full conformal group. While the general answer in two dimensions has been known for…

High Energy Physics - Theory · Physics 2011-08-16 Ignatios Antoniadis , Matthew Buican

We investigate the universality of correlation functions of chaotic and disordered quantum systems as an external parameter is varied. A new, general scaling procedure is introduced which makes the theory invariant under reparametrizations.…

Condensed Matter · Physics 2010-03-09 P. Leboeuf , M. Sieber

We explore the fixed-point structure of QED-like theories upon the inclusion of a Pauli spin-field coupling. We concentrate on the fate of UV-stable fixed points recently discovered in $d=4$ spacetime dimensions upon generalizations to…

High Energy Physics - Theory · Physics 2024-03-06 Holger Gies , Kevin K. K. Tam , Jobst Ziebell

We review the intriguing many-body physics resulting out of the interplay of a single, local impurity and the two-particle interaction in a one-dimensional Fermi system. Even if the underlying homogeneous correlated system is taken to be…

Strongly Correlated Electrons · Physics 2020-02-12 A. Anthore , D. M. Kennes , E. Boulat , S. Andergassen , F. Pierre , V. Meden

Violations of universality of couplings in a vectorlike extension of the standard model with three heavy mirror fermion families are considered. The recently observed discrepancies between experiments and the standard model in the hadronic…

High Energy Physics - Phenomenology · Physics 2009-10-28 István Montvay

Universality, where microscopic details become irrelevant, takes place in thermodynamic phase transitions. The universality is captured by a singular scaling function of the thermodynamic variables, where the scaling exponents are…

Statistical Mechanics · Physics 2018-11-16 Ohad Shpielberg , Takahiro Nemoto , João Caetano

I study the universal finite-size scaling function for the lowest gap of the quantum Ising chain with a one-parameter family of ``defect'' boundary conditions, which includes periodic, open, and antiperiodic boundary conditions as special…

Statistical Mechanics · Physics 2019-10-16 Masaki Oshikawa

We analyze the theory of massive fermions in the fundamental representation coupled to a U(N) Chern-Simons gauge theory at level K. It is done in the large N, large K limits where \lambda=N/K is kept fixed. Following arXiv:1110.4386 we…

High Energy Physics - Theory · Physics 2015-06-16 Yitzhak Frishman , Jacob Sonnenschein

Some algorithms for the numerically exact treatment of fermion determinants are summarised. This is not supposed to be a review, rather a concise handbook. The audience is expected to have a basic understanding of how to put fermions on a…

Computational Physics · Physics 2026-04-03 Johann Ostmeyer

We discuss the Schr\"odinger functional in lattice QCD with staggered fermions and relate it, in the classical continuum limit, to the Schr\"odinger functional regularized with Wilson fermions. We compute the strong coupling constant…

High Energy Physics - Lattice · Physics 2009-10-30 Urs M. Heller