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The dressing field method is a tool to reduce gauge symmetries. Here we extend it to cover the case of diffeomorphisms. The resulting framework is a systematic scheme to produce Diff(M)-invariant objects, which has a natural relational…

Mathematical Physics · Physics 2025-01-23 Jordan T. Francois Andre

Gauge theories on manifolds with spatial boundaries are studied. It is shown that observables localized at the boundaries (edge observables) can occur in such models irrespective of the dimensionality of spacetime. The intimate connection…

High Energy Physics - Theory · Physics 2009-10-28 A. P. Balachandran , L. Chandar , E. Ercolessi

Anomalies arising from nonplanar triangle diagrams of noncommutative gauge theory are studied. Local chiral gauge anomalies for both noncommutative U(1) and U(N) gauge theories with adjoint matter fields are shown to vanish. For…

High Energy Physics - Theory · Physics 2009-10-31 Farhad Ardalan , Neda Sadooghi

A theory with a non-compact form-symmetry is described by two closed form fields of degrees k and d-k. Effective theory examples are non-linear electrodynamics, a photon field coupled to a neutron field, and a low energy Goldstone boson. We…

High Energy Physics - Theory · Physics 2023-07-05 Valentin Benedetti , Horacio Casini , Javier M. Magan

The violation of the Noether relation between symmetries and charges is reduced to the time dependence of the charge associated to a conserved current. For the U(1) gauge symmetry a non-perturbative control of the charge commutators is…

Mathematical Physics · Physics 2008-11-26 G. Morchio , F. Strocchi

We discuss how to implement the source terms in Quantum Chromodynamics (QCD) respecting gauge invariance and noncommutativity of color charge density operators. We start with decomposing the generating functional of QCD into constituents…

High Energy Physics - Phenomenology · Physics 2009-11-11 Kenji Fukushima

We discuss the possibility of a class of gauge theories, in four Euclidean dimensions, to describe gravity at quantum level. The requirement is that, at low energies, these theories can be identified with gravity as a geometrodynamical…

High Energy Physics - Theory · Physics 2015-06-12 R. F. Sobreiro , A. A. Tomaz , V. J. Vasquez Otoya

We consider the possibility that photons of noncommutative QED can make bound states. Using the potential model, developed based on the constituent gluon picture of QCD glue-balls, arguments are presented in favor of existence of these…

High Energy Physics - Theory · Physics 2009-01-07 Amir H. Fatollahi , Abolfazl Jafari

A theory containing both electric and magnetic charges is formulated using two vector potentials, $A_{\mu}$ and $C_{\mu}$. This has the aesthetic advantage of treating electric and magnetic charges both as gauge charges, but it has the…

High Energy Physics - Theory · Physics 2007-05-23 Douglas Singleton

We review some recent results on the equilibrium shapes of charged liquid drops. We show that the natural variational model is ill-posed and how this can be overcome by either restricting the class of competitors or by adding penalizations…

Analysis of PDEs · Mathematics 2017-09-15 Michael Goldman , Berardo Ruffini

k-Component q-deformed charge coherent states are constructed, their (over)completeness proved and their generation explored. The q-deformed charge coherent states and the even (odd) q-deformed charge coherent states are the two special…

Quantum Physics · Physics 2009-11-11 X. -M. Liu , C. Quesne , F. Song

Gauge-invariant field strengths, defined as parallel transports to infinity of ordinary field strengths, naturally emerge in a few physical phenomena governed by $QCD$. One of them is confinement of colour. Despite the arbitrariness in…

High Energy Physics - Lattice · Physics 2025-06-06 Adriano Di Giacomo

An interesting question is to characterize the general class of allowed boundary conditions for gauge theories, including gravity, at spatial and null infinity. This has played a role in discussions of soft charges, where antipodal symmetry…

High Energy Physics - Theory · Physics 2020-01-08 Steven B. Giddings

Confinement is an ubiquitous phenomenon when matter couples to gauge fields, which manifests itself in a linear string potential between two static charges. Although gauge fields can be integrated out in one dimension, they can mediate…

A simple theorem is proved: When a gauge-invariant local field theory is written in terms of matter fields alone, a composite gauge boson or bosons must be formed dynamically. The theorem results from the fact that the Noether current…

High Energy Physics - Phenomenology · Physics 2017-09-20 Mahiko Suzuki

The QCD equation of state at finite temperature and densities of conserved charges is considered in the framework of a Hagedorn bag-like model, incorporating both the finite sizes of hadrons as well as their exponential mass spectrum.…

Nuclear Theory · Physics 2019-11-18 Volodymyr Vovchenko , Mark I. Gorenstein , Carsten Greiner , Horst Stoecker

QCD-like theories can be engineered to remain in a confined phase when compactified on an arbitrarily small circle, where their features may be studied quantitatively in a controlled fashion. Previous work has elucidated the generation of a…

High Energy Physics - Theory · Physics 2017-12-06 Kyle Aitken , Aleksey Cherman , Erich Poppitz , Laurence G. Yaffe

I call attention to the possibility that QCD bound states (hadrons) could be derived using rigorous Hamiltonian, perturbative methods. Solving Gauss' law for $A^0$ with a non-vanishing boundary condition at spatial infinity gives an…

High Energy Physics - Phenomenology · Physics 2015-06-22 Paul Hoyer

In this work we propose a way to promote the anomalous axial U(1) transformations to exact non-invertible U(1) symmetries. We discuss the procedure of coupling the non-invertible symmetry to a (dynamical or background) gauge field. We show…

High Energy Physics - Theory · Physics 2023-07-12 Avner Karasik

For gauge theories with direct product internal symmetry groups, the relationship between internal quantum numbers (charges) and coupling strengths is examined. In these types of theories, the Lagrangian density may contain non-trivial…

High Energy Physics - Phenomenology · Physics 2015-01-27 J. LaChapelle
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