scholarly journals Looking behind the Standard Model with lattice gauge theory

2018 ◽  
Vol 175 ◽  
pp. 01017 ◽  
Author(s):  
Benjamin Svetitsky
Keyword(s):  
Field Theory ◽  
Gauge Theory ◽  
Standard Model ◽  
Recent Work ◽  
Lattice Gauge Theory ◽  
Strongly Coupled ◽  
Lattice Methods ◽  
Lattice Gauge ◽  
The Standard Model ◽  
Coupled Field

Models for what may lie behind the Standard Model often require nonperturbative calculations in strongly coupled field theory. This creates opportunities for lattice methods, to obtain quantities of phenomenological interest as well as to address fundamental dynamical questions. I survey recent work in this area.

scholarly journals Testing the mechanism of lepton compositeness

2021 ◽  
Vol 10 (3) ◽  
Author(s):  
Vincenzo Afferrante ◽  
Axel Maas ◽  
René Sondenheimer ◽  
Pascal Törek
Keyword(s):  
Gauge Theory ◽  
Standard Model ◽  
Gauge Invariance ◽  
Bound States ◽  
Lattice Gauge Theory ◽  
Higgs Field ◽  
Left Handed ◽  
Lattice Gauge ◽  
The Standard Model ◽  
Weyl Fermions

Strict gauge invariance requires that physical left-handed leptons are actually bound states of the elementary left-handed lepton doublet and the Higgs field within the standard model. That they nonetheless behave almost like pure elementary particles is explained by the Fr"ohlich-Morchio-Strocchi mechanism. Using lattice gauge theory, we test and confirm this mechanism for fermions. Though, due to the current inaccessibility of non-Abelian gauged Weyl fermions on the lattice, a model which contains vectorial leptons but which obeys all other relevant symmetries has been simulated.

scholarly journals Lattice gauge theory for physics beyond the Standard Model

2019 ◽  
Vol 55 (11) ◽  
Author(s):  
Richard C. Brower ◽  
◽  
Anna Hasenfratz ◽  
Ethan T. Neil ◽  
Simon Catterall ◽  
...  
Keyword(s):  
Gauge Theory ◽  
Standard Model ◽  
Lattice Gauge Theory ◽  
Beyond The Standard Model ◽  
Lattice Gauge ◽  
The Standard Model

scholarly journals GAUGE THEORY ON A SPACE WITH LINEAR LIE TYPE FUZZINESS

2013 ◽  
Vol 28 (08) ◽  
pp. 1350021 ◽  
Author(s):  
MOHAMMAD KHORRAMI ◽  
AMIR H. FATOLLAHI ◽  
AHMAD SHARIATI
Keyword(s):  
Gauge Theory ◽  
Standard Model ◽  
Field Strength ◽  
Gauge Field ◽  
Field Component ◽  
Lattice Gauge Theory ◽  
Fourier Space ◽  
Lattice Gauge ◽  
The Standard Model

The U(1) gauge theory on a space with Lie type noncommutativity is constructed. The construction is based on the group of translations in Fourier space, which in contrast to space itself is commutative. In analogy with lattice gauge theory, the object playing the role of flux of field strength per plaquette, as well as the action, is constructed. It is observed that the theory, in comparison with ordinary U(1) gauge theory, has an extra gauge field component. This phenomena is reminiscent of similar ones in formulation of SU (N) gauge theory in space with canonical noncommutativity, and also appearance of gauge field component in discrete direction of Connes' construction of the Standard Model.

scholarly journals Heavy quark thermalization in classical lattice gauge theory: lessons for strongly-coupled QCD

2009 ◽  
Vol 2009 (05) ◽  
pp. 014-014 ◽  
Author(s):  
Mikko Laine ◽  
Guy D Moore ◽  
Owe Philipsen ◽  
Marcus Tassler
Keyword(s):  
Gauge Theory ◽  
Heavy Quark ◽  
Lattice Gauge Theory ◽  
Classical Lattice ◽  
Strongly Coupled ◽  
Lattice Gauge

scholarly journals Lattice gauge field theory and prismatic sets

2011 ◽  
Vol 108 (1) ◽  
pp. 26 ◽  
Author(s):  
B. Akyar ◽  
J. L. Dupont
Keyword(s):  
Field Theory ◽  
Gauge Theory ◽  
Lie Group ◽  
Lattice Gauge Theory ◽  
Parallel Transport ◽  
Gauge Field Theory ◽  
Classifying Space ◽  
Simplicial Sets ◽  
Lattice Gauge ◽  
Simplicial Set

We study prismatic sets analogously to simplicial sets except that realization involves prisms, i.e., products of simplices rather than just simplices. Particular examples are the prismatic subdivision of a simplicial set $S$ and the prismatic star of $S$. Both have the same homotopy type as $S$ and in particular the latter we use to study lattice gauge theory in the sense of Phillips and Stone. Thus for a Lie group $G$ and a set of parallel transport functions defining the transition over faces of the simplices, we define a classifying map from the prismatic star to a prismatic version of the classifying space of $G$. In turn this defines a $G$-bundle over the prismatic star.

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