Gauge procedure with gauge fields of various ranks

Singleton, Douglas; Kato, Akira; Yoshida, Atsushi

doi:10.1016/j.physleta.2004.08.002

Cited by 6 publications

(7 citation statements)

References 31 publications

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“…Variations of ( 17) with respect to γ ab and X µ and the conformal symmetry considerations which determine the constant in (18) lead to the same equations of motion, (13), (14).…”

Section: The Contribution Ismentioning

confidence: 94%

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Superstrings with the Galileon measure

Vulfs

Guendelman

2018

Annals of Physics

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The modified measure theories recommend themselves as a good possibility to go beyond the standard formulation to solve yet unsolved problems. The Galileon measure that is constructed in the way to be invariant under the Galileon shift symmetry is considered in the context of superstring theory. The translation invariance of the vacuum holds up to a Galileon transformations. The supersymmetric action is presented with all terms, including the tension, being derived from the equations of motion.

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“…Variations of ( 17) with respect to γ ab and X µ and the conformal symmetry considerations which determine the constant in (18) lead to the same equations of motion, (13), (14).…”

Section: The Contribution Ismentioning

confidence: 94%

“…We should point out that a shift of the scalar by a linear function of coordinates resembles a "gauge symmetry" (although the gauge function is restricted to be a linear function of the coordinates, not a general function). These kind of "scalar gauge fields" were considered in [17,18].…”

Section: Gmtmentioning

confidence: 99%

Superstrings with the Galileon measure

Vulfs

Guendelman

2018

Annals of Physics

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“…There are also no obstacles to considering non-Abelian momentum gauge fields. Lastly the present authors have worked on other ways to modify the gauge principle with non-vector gauge fields [13][14][15] or by gauging a dual symmetry, [16]. Also the "Curtright generalized gauge fields" presents yet another way to generalize the gauge principle [17].…”

Section: Discussionmentioning

confidence: 98%

Momentum Gauge Fields and Non-Commutative Space-Time

Guendelman,

Singleton

2022

Preprint

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In this work we present a gauge principle that starts with the momentum space representation of the position operator (x i = i ∂ ∂p i ) rather than starting with the position space representation of the momentum operator (p i = −i ∂ ∂x i ). We discuss some simple examples with this new type of gauge theory: (i) analog solutions from ordinary gauge theory in this momentum gauge theory, (ii) Landau levels using momentum gauge fields, (iii) the emergence of non-commutative space-times from the momentum gauge fields. We find that the non-commutative space-time parameter can be momentum dependent, and one can construct a model where space-time is commutative at low momentum but becomes non-commutative at high momentum.

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“…Reference [7] gives a variant of the Standard Model using vector and scalar gauge fields. In the work [8] a modification of the usual gauge procedure was proposed which allowed gauge fields of various ranks -scalar (rank 0), vector (rank 1), and higher tensors (rank 2 and higher). In [9] scalar gauge fields were used to couple electromagnetism to a "global charge" carried by a complex scalar field with only global phase invariance.…”

Section: Scalar Gauge Fieldmentioning

confidence: 99%

Scalar gauge fields

Guendelman

Singleton

2014

J. High Energ. Phys.

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In this paper we give a variation of the gauge procedure which employs a scalar gauge field, B(x), in addition to the usual vector gauge field, A µ (x). We study this variant of the usual gauge procedure in the context of a complex scalar, matter field φ(x) with a U(1) symmetry. We will focus most on the case when φ develops a vacuum expectation value via spontaneous symmetry breaking. We find that under these conditions the scalar gauge field mixes with the Goldstone boson that arises from the breaking of a global symmetry. Some other interesting features of this scalar gauge model are: (i) The new gauge procedure gives rise to terms which violate C and CP symmetries. This may have have applications in cosmology or for CP violation in particle physics; (ii) the existence of mass terms in the Lagrangian which respect the new extended gauge symmetry. Thus one can have gauge field mass terms even in the absence of the usual Higgs mechanism; (iii) the emergence of a sine-Gordon potential for the scalar gauge field; (iv) a natural, axion-like suppression of the interaction strength of the scalar gauge boson.

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Gauge procedure with gauge fields of various ranks

Cited by 6 publications

References 31 publications

Superstrings with the Galileon measure

Superstrings with the Galileon measure

Momentum Gauge Fields and Non-Commutative Space-Time

Scalar gauge fields

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