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Gauging and duality transformations, two of the most useful tools in many-body physics, are shown to be equivalent up to constant depth quantum circuits in the case of one-dimensional quantum lattice models. This is demonstrated by making…

A parametrization of gauge fields on complex projective spaces of arbitrary dimension is given as a generalization of the two-dimensional case. Gauge transformations act homogeneously on the fields, facilitating a manifestly gauge-invariant…

High Energy Physics - Theory · Physics 2022-11-18 Dimitra Karabali , Antonina Maj , V. P. Nair

The Standard Model of electroweak interactions is shown to include a gauge theory for the observed scalar and pseudoscalar mesons. This is done by exploiting the consequences of embedding the SU(2)left X U(1) group into the chiral group of…

High Energy Physics - Phenomenology · Physics 2009-10-28 B. Machet

Photon correlators in $~U(1)~$ pure gauge theory for different lattice actions are considered under the Lorentz gauge condition. They are shown to depend strongly on the gauge fixing ambiguity and on the corresponding existence of Dirac…

High Energy Physics - Lattice · Physics 2009-10-22 V. G. Bornyakov , V. K. Mitrjushkin , M. Müller-Preussker , F. Pahl

Soft-collinear effective theory is generalized to include soft massless quarks in addition to collinear fields. This extension is necessary for the treatment of interactions with the soft spectator quark in a heavy meson. The power counting…

High Energy Physics - Phenomenology · Physics 2010-04-05 Richard J. Hill , Matthias Neubert

The technicolor scenario replaces the Higgs sector of the standard model with a strongly interacting sector. One candidate for a realization of such a sector is two-technicolor Yang-Mills theory coupled to two degenerate flavors of adjoint,…

High Energy Physics - Lattice · Physics 2011-05-23 Axel Maas

Scalar effective field theories with enhanced soft limits behave in many ways like gauge theories and gravity. In particular, symmetries fix the structure of interactions and the tree-level S-matrix in both types of theories. We explore how…

High Energy Physics - Theory · Physics 2020-10-08 James Bonifacio , Kurt Hinterbichler , Laura A. Johnson , Austin Joyce , Rachel A. Rosen

Gauge-fixing as a sampling procedure of gauge copies provides a possibility to construct well-defined gauges also beyond perturbation theory. The implementation of such sampling strategies in lattice gauge theory is briefly outlined, and…

High Energy Physics - Theory · Physics 2013-03-15 Axel Maas

Lattice perturbation theory is discussed in the overlap formulation for the Yukawa and gauge interactions. One and two point functions are studied for fermion, scalar and gauge fields, taking the Standard Model as an example. The formulae…

High Energy Physics - Lattice · Physics 2009-10-31 Atsushi Yamada

Entanglement is assuming a central role in modern quantum many-body physics. Yet, for lattice gauge theories its certification remains extremely challenging. A key difficulty stems from the local gauge constraints underlying the gauge…

High Energy Physics - Theory · Physics 2022-09-26 Veronica Panizza , Ricardo Costa de Almeida , Philipp Hauke

Lattice gauge theory is an important framework for studying gauge theories that arise in the Standard Model and condensed matter physics. Yet many systems (or regimes of those systems) are difficult to study using conventional techniques,…

High Energy Physics - Lattice · Physics 2026-04-09 Ariel Kelman , Umberto Borla , Patrick Emonts , Erez Zohar

In this note we show that a "dynamical" interaction for arbitrary spin can be constructed in a straightforward way if gauge and Lorentz transformations are placed on the same foundation. As Lorentz transformations act on space-time…

High Energy Physics - Theory · Physics 2011-09-21 R. Saar , S. Groote , H. Liivat , I. Ots

It has recently been shown that nontrivial couplings between a scalar and the Gauss-Bonnet invariant can give rise to black hole spontaneous scalarization. Theories that exhibit this phenomenon are among the leading candidates for testing…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Caio F. B. Macedo , Jeremy Sakstein , Emanuele Berti , Leonardo Gualtieri , Hector O. Silva , Thomas P. Sotiriou

Lattice studies of gauge theories with symplectic gauge groups provide valuable information about gauge dynamics, and complement the results of lattice investigations focused on unitary gauge groups. These theories play a central role in…

We review recent lattice results for the large $N$ limit of SU(N) gauge theories. In particular, we focus on glueball masses, topology and its relation to chiral symmetry breaking (relevant for phenomenology), on the tension of strings…

High Energy Physics - Lattice · Physics 2017-08-23 B. Lucini , M. Teper , U. Wenger

Using relationships between open and closed strings, we present a construction of tree-level scattering amplitudes for gravitons minimally coupled to matter in terms of gauge theory partial amplitudes. In particular, we present examples of…

High Energy Physics - Theory · Physics 2009-10-31 Z. Bern , A. De Freitas , H. L. Wong

Building on the principle of combinatorial gauge symmetry, lattice gauge theories can be formulated with only one- and two-body interactions that ensure the exact realization of the symmetry rather than its approximate emergence in a…

Strongly Correlated Electrons · Physics 2024-11-07 Hongji Yu , Dmitry Green , Claudio Chamon

We argue that quiver gauge theories with $SU(N)$ gauge groups give rise to lattice gauge theories with matter possessing fractonic properties, where the lattice is the quiver itself. This idea extends a recent proposal by Razamat. This…

High Energy Physics - Theory · Physics 2022-06-29 Sebastian Franco , Diego Rodriguez-Gomez

The idea of gauging (i.e. making local) symmetries of a physical system is a central feature of many modern field theories. Usually, one starts with a Lagrangian for some scalar or spinor matter fields, with the Lagrangian being invariant…

High Energy Physics - Theory · Physics 2007-05-23 Akira Kato , Doug Singleton

For gauge theories with confinement, the analytic structure of amplitudes is explored. It is shown that the analytic properties of physical amplitudes are the same as those obtained on the basis of an effective theory involving only the…

High Energy Physics - Theory · Physics 2011-04-15 Reinhard Oehme
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