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We consider the Hamiltonian constraint formulation of classical field theories, which treats spacetime and the space of fields symmetrically, and utilizes the concept of momentum multivector. The gauge field is introduced to compensate for…

Mathematical Physics · Physics 2018-05-04 Vaclav Zatloukal

At first, we consider the path integral method for the covariant symmetry breaking in gravity. We replace the scalar fields, instead of the degrees of freedom which have been removed by gauge fixing constraints. Finally the specific ghost…

High Energy Physics - Theory · Physics 2015-09-08 Amin Akhavan

We review some aspects of the implementation of spacetime symmetries in noncommutative field theories, emphasizing their origin in string theory and how they may be used to construct theories of gravitation. The geometry of canonical…

High Energy Physics - Theory · Physics 2009-11-11 Richard J. Szabo

Symmetry, in particular gauge symmetry, is a fundamental principle in theoretical physics. It is intimately connected to the geometry of fibre bundles. A refinement to the gauge principle, known as ``spontaneous symmetry breaking'', leads…

High Energy Physics - Theory · Physics 2007-05-23 ST Tsou

We revisit an old idea that gravity can be unified with Yang-Mills theory by enlarging the gauge group of gravity formulated as gauge theory. Our starting point is an action that describes a generally covariant gauge theory for a group G.…

High Energy Physics - Theory · Physics 2010-04-14 Alexander Torres-Gomez , Kirill Krasnov

Generalized global symmetries are a common feature of many quantum field theories decoupled from gravity. By contrast, in quantum gravity / the Swampland program, it is widely expected that all global symmetries are either gauged or broken,…

High Energy Physics - Theory · Physics 2023-07-26 Mirjam Cvetič , Jonathan J. Heckman , Max Hübner , Ethan Torres

The generalized connections of the (anti)-de Sitter space symmetry algebra, which are differential forms of arbitrary degree with values in any irreducible (spin)-tensor representation of the (anti)-de Sitter algebra, are studied. It is…

High Energy Physics - Theory · Physics 2009-09-28 E. D. Skvortsov

Systems of interacting charges and fields are ubiquitous in physics. Recently, it has been shown that Hamiltonians derived using different gauges can yield different physical results when matter degrees of freedom are truncated to a few…

Quantum Physics · Physics 2021-02-26 Dominic M. Rouse , Brendon W. Lovett , Erik M. Gauger , Niclas Westerberg

I consider the sense in which teleparallel gravity and symmetric teleparallel gravity may be understood as gauge theories of gravity. I first argue that both theories have surplus structure. I then consider the relationship between…

History and Philosophy of Physics · Physics 2025-04-09 James Owen Weatherall

We consider a gauge symmetry in a quantum Hilbert space. The symmetry leads to that of the heat-kernel and of the anomaly formulae which were previously obtained by the authors. This greatly simplifies and clarifies the structure of the…

High Energy Physics - Theory · Physics 2007-05-23 Shoichi Ichinose , Noriaki Ikeda

Higher-form symmetries are associated with transformations that only act on extended objects, not on point particles. Typically, higher-form symmetries live alongside ordinary, point-particle (0-form), symmetries and they can be jointly…

High Energy Physics - Theory · Physics 2021-04-08 Tomas Brauner

By regarding gravity as the convolution of left and right Yang-Mills theories together with a spectator scalar field in the bi-adjoint representation, we derive in linearised approximation the gravitational symmetries of general covariance,…

High Energy Physics - Theory · Physics 2014-12-10 A. Anastasiou , L. Borsten , M. J. Duff , L. J. Hughes , S. Nagy

Continuous dual symmetry in electrodynamics, Yang-Mills theory and gravitation is investigated. Dual invariant which leads to badly nonlinear motion equations is chosen as a Lagrangian of the pure classical dual nonlinear electrodynamics.…

High Energy Physics - Theory · Physics 2007-05-23 A. L. Koshkarov

We discuss some properties of noncommutative supersymmetric field theories which do not involve gauge fields. We concentrate on the renormalizability issue of these theories.

High Energy Physics - Theory · Physics 2007-05-23 Victor O. Rivelles

Hadron properties and interactions are emergent from QCD. Atomic and condensed matter physics are emergent from QED. Could the local gauge symmetries of particle physics also be emergent? We give an introduction to this question and recent…

High Energy Physics - Phenomenology · Physics 2020-10-05 Steven D. Bass

In pregeometry a metric arises as a composite object at large distances. We investigate if its signature, which distinguishes between time and space, could be a result of the dynamics rather than being built in already in the formulation of…

General Relativity and Quantum Cosmology · Physics 2022-06-29 C. Wetterich

Local gauge theories are in a complicated relationship with boundaries. Whereas fixing the gauge can often shave off unwanted redundancies, the coupling of different bounded regions requires the use of gauge-variant elements. Therefore,…

History and Philosophy of Physics · Physics 2022-06-15 Henrique Gomes

Emergence of fundamental forces from gauge symmetry is among our most profound insights about the physical universe. In nature, such symmetries remain hidden in the space of internal degrees of freedom of subatomic particles. Here we…

Quantum Gases · Physics 2019-12-19 Kunal K. Das , Miroslav Gajdacz

We generalize the gradient flow equation for field theories with nonlinearly realized symmetry. Applying the formalism to super Yang-Mills theory, we construct a supersymmetric extension of the gradient flow equation. It can be shown that…

High Energy Physics - Theory · Physics 2015-06-22 Kengo Kikuchi , Tetsuya Onogi

Quantum mechanics is 'emergent' if a statistical treatment of large scale phenomena in a locally deterministic theory requires the use of quantum operators. These quantum operators may allow for symmetry transformations that are not present…

High Energy Physics - Theory · Physics 2008-11-26 Gerard 't Hooft
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