Flux tube solutions in noncommutative gauge theories

Alexios P. Polychronakos

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Flux tube solutions in noncommutative gauge theories

Alexios P. Polychronakos

High Energy Physics - Theory · Submitted 6 Jul 2000

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The authors' main claim We derive nonperturbative classical solutions of noncommutative U(1) gauge theory, with or without a Higgs field, representing static magnetic flux tubes with arbitrary cross-section.

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We derive nonperturbative classical solutions of noncommutative U(1) gauge theory, with or without a Higgs field, representing static magnetic flux tubes with arbitrary cross-section. The fields are nonperturbatively different from the vacuum in at least some region of space. The flux of these tubes is quantized in natural units. We also point out that magnetic monopole charge can be fractionized by embedding the monopoles in a constant magnetic field.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We derive nonperturbative classical solutions of noncommutative U(1) gauge theory, with or without a Higgs field, representing static magnetic flux tubes with arbitrary cross-section.	contribution 0.92	0.96	0.75	asserted 1.00
s1	The fields are nonperturbatively different from the vacuum in at least some region of space.	result 0.98	0.83	0.14	asserted 0.90
s2	The flux of these tubes is quantized in natural units.	result 1.00	0.82	0.18	asserted 1.00
s3	We also point out that magnetic monopole charge can be fractionized by embedding the monopoles in a constant magnetic field.	result 0.80	0.77	0.13	asserted 0.78

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The paper

Original abstract

We derive nonperturbative classical solutions of noncommutative U(1) gauge theory, with or without a Higgs field, representing static magnetic flux tubes with arbitrary cross-section. The fields are nonperturbatively different from the vacuum in at least some region of space. The flux of these tubes is quantized in natural units. We also point out that magnetic monopole charge can be fractionized by embedding the monopoles in a constant magnetic field.

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References

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Rank Two Quiver Gauge Theory, Graded Connections and Noncommutative Vortices
hep-th 2006-03 conditional novelty 6.0 of 10

SU(2)xSU(2)-equivariant Yang-Mills on M x CP^1 x CP^1 reduces to a rank-two quiver gauge theory whose BPS and non-BPS solutions on noncommutative R^{2n} represent D-brane vortex configurations.
Quantum Hall states as matrix Chern-Simons theory
hep-th 2001-03 conditional novelty 6.0 of 10

A finite-N matrix Chern-Simons model reproduces the quantized inverse filling fraction and quasihole charge of Laughlin quantum Hall states and maps onto the Calogero model.
BPS Bound States Of D0-D6 And D0-D8 Systems In A B-Field
hep-th 2000-12 accept novelty 6.0 of 10

A constant B-field makes the D0-D6 system supersymmetric on a codimension-one locus, and a BPS bound state exists on only one side of that locus, so the number of 1/8 BPS states in a T^6 compactification jumps with th...
Quantum Field Theory on Noncommutative Spaces
hep-th 2001-09 accept novelty 2.0 of 10

The paper is a self-contained review that organizes noncommutative quantum field theory and its string-theoretic connections into a single pedagogical reference.
Noncommutative Field Theory
hep-th 2001-06 accept novelty 2.0 of 10

Noncommutative field theory is a coherent generalization of ordinary field theory with its own solitons, UV/IR mixing, and string-theoretic origin, surveyed here in full.

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7 arXiv papers cite this in 20 sentences

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Compares with it 3 papers

These solutions are also same as the higher moment solutions obtained from the ansatz $𝒟=g(n)a^k$ in [ref] .

Topics in Noncommutative Gauge Theories and Deformed Relativistic Theories · Flux Tube Solution In Noncommutative Gauge Theories · 0.98
This solutuion is same as the higher moment solution obtained in [ref] starting with the ansatz $D=F(N)a^2$.

Noncommutative Vortices and Instantons from Generalized Bose Operators · Flux Tube Solution In Noncommutative Gauge Theories · 0.98
For $g̃ →∞$, our solutions collapse to the flux- tube (fluxon) solutions discussed in [ref] ; whereas, for $θ→∞$, the action gets a contribution only from the potential term, and our vortex solution collapses to a noncommutative soliton solution of the type first discussed in [ref] .

Noncommutative Vortices and Flux-Tubes from Yang-Mills Theories with Spontaneously Generated Fuzzy Extra Dimensions · Case 1: The constraint fully imposed · 0.90

Cites it as background 3 papers

This theory incorporates magnetic flux tube solutions [ref] which are important in the context of monopoles and strings discussed in [ref] .

Topics in Noncommutative Gauge Theories and Deformed Relativistic Theories · Flux Tube Solution In Noncommutative Gauge Theories · 0.84
Thus, not only as the simplest field theories in quantum spacetime but also as toy models of string theory, various perturbative and non-perturbative aspects such as unitarity [ref] , causality [ref] , UV-IR mixing [ref] , renormalizability [ref] , scalar solitons [ref] , instantons [ref] , monopoles [ref] , and other solitonic solutions [ref] have extensively been analyzed.

Domain wall solitons and Hopf algebraic translational symmetries in noncommutative field theories · Introduction · 0.96
Apart from these, there are multitudes of other solutions in noncommutative gauge fields like merons [ref] , flux tubes [ref] , monopoles [ref] , dyons [ref] , skyrmions [ref] , false vacuum bubbles [ref] , to name just a few.

Noncommutative Vortices and Instantons from Generalized Bose Operators · Introduction · 0.99

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