Gauge Fields and Strings

Polyakov,

doi:10.1201/9780203755082

Cited by 82 publications

(144 citation statements)

References 5 publications

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“…Equation (9) is the analog of the constraint equation (6). Using the standard Noether construction with the nonsymmetry deformation parametrized through an arbitrary continuous function εðxÞ as…”

Section: Classical Btgt Symmetry Currentmentioning

confidence: 99%

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Ward identity and basis tensor gauge theory at one loop

Chung

2018

Phys. Rev. D

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Basis tensor gauge theory (BTGT) is a reformulation of ordinary gauge theory that is an analog of the vierbein formulation of gravity and is related to the Wilson line formulation. To match ordinary gauge theories coupled to matter, the BTGT formalism requires a continuous symmetry that we call the BTGT symmetry in addition to the ordinary gauge symmetry. After classically interpreting the BTGT symmetry, we construct using the BTGT formalism the Ward identities associated with the BTGT symmetry and the ordinary gauge symmetry. For a way of testing the quantum stability and the consistency of the Ward identities with a known regularization method, we explicitly renormalize the scalar QED at one loop using dimensional regularization using the BTGT formalism.

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Section: Classical Btgt Symmetry Currentmentioning

confidence: 99%

“…[1][2][3][4][5][6][7][8]) used to write the Standard Model of particle physics [8][9][10][11][12][13][14][15][16][17] are usually written in terms of fields that transform inhomogeneously under the gauge group; i.e., these are connections on principal bundles (see, e.g., Refs. [18,19]).…”

Section: Introductionmentioning

confidence: 99%

Ward identity and basis tensor gauge theory at one loop

Chung

2018

Phys. Rev. D

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“…The natural objects charged under the symmetry are strings. An analog description in this case to the quantum field theory would be constituted by a theory where the fundamental operators live in loop space [2]. A more concrete way of saying this is that operators that create strings on 1 dimensional contour d are non-local operators Φ [d ], where d C is the boundary of the 2 dimensional string world-volume .…”

Section: Introductionmentioning

confidence: 99%

Generalized global symmetries and holography

2018

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We study the holographic duals of four-dimensional field theories with 1-form global symmetries, both discrete and continuous. Such higher-form global symmetries are associated with antisymmetric tensor gauge fields in the bulk. Various different realizations are possible: we demonstrate that a Maxwell action for the bulk antisymmetric gauge field results in a non-conformal field theory with a marginally running double-trace coupling. We explore its hydrodynamic behavior at finite temperature and make contact with recent symmetry-based formulations of magnetohydrodynamics. We also argue that discrete global symmetries on the boundary are dual to discrete gauge theories in the bulk. Such gauge theories have a bulk Chern-Simons description: we clarify the conventional 0-form case and work out the 1-form case. Depending on boundary conditions, such discrete symmetries may be embedded in continuous higher-form symmetries that are spontaneously broken. We study the resulting boundary Goldstone mode, which in the 1-form case may be thought of as a boundary photon. Our results clarify how the global form of the field theory gauge group is encoded in holography. Finally, we study the interplay of Maxwell and Chern-Simons terms put together. We work out the operator content and demonstrate the existence of new backreacted anisotropic scaling solutions that carry higher-form charge.

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“…We will derive in this paper such a generalized energy functional for a coupled geophysical flow that is not a Hamiltonian nor a Lagrangian [20].…”

Section: Introductionmentioning

confidence: 99%

Phase Transitions to Superrotation in a Coupled Fluid—Rotating Sphere System

Lim

IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence

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Summary. A family of spin-lattice models are derived as convergent finite dimensional approximations to the rest frame kinetic energy of a barotropic fluid coupled to a massive rotating sphere. The angular momentum of the fluid component changes under complex torques that are not resolved and the kinetic energy of the fluid is not a conserved Hamiltonian in these models. These models are used in a statistical equilibrium formulation for the energy -relative enstrophy theory of the coupled barotropic fluid -rotating sphere system, known as Kac's spherical model, to study the interactions between the energy cascade to large scales and angular momentum transfer. Exact solution of this model provides critical temperatures and amplitudes of the ground modes -super-rotating solid body flows -in the BECondensed phase.

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Gauge Fields and Strings

Cited by 82 publications

References 5 publications

Ward identity and basis tensor gauge theory at one loop

Ward identity and basis tensor gauge theory at one loop

Generalized global symmetries and holography

Phase Transitions to Superrotation in a Coupled Fluid—Rotating Sphere System

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