Pseudoparticle Solutions of the Yang-Mills Equations

Belavin, A. A.; Polyakov, Alexander M.; Schwartz, Arthur S.; Tyupkin, Yu. S.

doi:10.1142/9789814317344_0063

Cited by 49 publications

(79 citation statements)

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“…Furthermore, by taking the Fourier transform of these massless tadpoles after including a propagator [6,7], we find that the corresponding space-time profile is precisely that of the classical instanton solution of the SU(N) gauge theory in the singular gauge [24,25]. For simplicity we show this only in the case of the D3/D(−1) brane system in flat space, i.e.…”

Section: Introductionmentioning

confidence: 77%

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Classical gauge instantons from open strings

Billó

Frau

Pesando

et al. 2003

J. High Energy Phys.

163

491

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We study the D3/D(−1) brane system and show how to compute instanton corrections to correlation functions of gauge theories in four dimensions using open string techniques. In particular we show that the disks with mixed boundary conditions that are typical of the D3/D(−1) system are the sources for the classical instanton solution. This can then be recovered from simple calculations of open string scattering amplitudes in the presence of D-instantons. Exploiting this fact we also relate this stringy description to the standard instanton calculus of field theory.

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Section: Introductionmentioning

confidence: 77%

“…|x − x 0 | >> ρ) of the classical BPST SU(2) instanton [24,25] with center x 0 and size ρ, in the so-called singular gauge, namely…”

Section: The Gauge Vector Profilementioning

confidence: 99%

Classical gauge instantons from open strings

Billó

Frau

Pesando

et al. 2003

J. High Energy Phys.

163

491

View full text Add to dashboard Cite

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“…Potential singularities like (r 2 −2θ) −1 , as occurring for the noncommutative 't Hooft instanton [16,22], are regulated in our case by the instanton size. Moreover, in the framework of the dressing and splitting approaches described in this paper we were able to solve the reality problem of the gauge field which was encountered by the authors of [16] in generalizing the BPST ansatz [45].…”

Section: Discussionmentioning

confidence: 95%

“…The proper noncommutative 't Hooft multi-instanton field strength was written down explicitly but its associated gauge potential could be given only implicitly. In order to get around these difficulties, Correa et al [16] suggested to use the Belavin-Polyakov-Schwarz-Tyupkin (BPST) [45] ansatz for constructing the noncommutative U (2) one-instanton. In contrast to [22] they did obtain an explicit expression for the self-dual gauge potential but the reality of the gauge potential and field strength was lost.…”

Section: Introductionmentioning

confidence: 99%

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Noncommutative Instantons via Dressing and Splitting Approaches

Horváth

Lechtenfeld

Wolf

2002

J. High Energy Phys.

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Almost all known instanton solutions in noncommutative Yang-Mills theory have been obtained in the modified ADHM scheme. In this paper we employ two alternative methods for the construction of the self-dual U (2) BPST instanton on a noncommutative Euclidean four-dimensional space with self-dual noncommutativity tensor. Firstly, we use the method of dressing transformations, an iterative procedure for generating solutions from a given seed solution, and thereby generalize Belavin's and Zakharov's work to the noncommutative setup. Secondly, we relate the dressing approach with Ward's splitting method based on the twistor construction and rederive the solution in this context. It seems feasible to produce nonsingular noncommutative multi-instantons with these techniques.

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Theta dependence in holographic QCD

Bartolini

Bigazzi

Bolognesi

et al. 2017

J. High Energ. Phys.

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Abstract:We study the effects of the CP-breaking topological θ-term in the large N c QCD model by Witten, Sakai and Sugimoto with N f degenerate light flavors. We first compute the ground state energy density, the topological susceptibility and the masses of the lowest lying mesons, finding agreement with expectations from the QCD chiral effective action. Then, focusing on the N f = 2 case, we consider the baryonic sector and determine, to leading order in the small θ regime, the related holographic instantonic soliton solutions. We find that while the baryon spectrum does not receive O(θ) corrections, this is not the case for observables like the electromagnetic form factor of the nucleons. In particular, it exhibits a dipole term, which turns out to be vector-meson dominated. The resulting neutron electric dipole moment, which is exactly the opposite as that of the proton, is of the same order of magnitude of previous estimates in the literature. Finally, we compute the CP-violating pion-nucleon coupling constantḡ πN N , finding that it is zero to leading order in the large N c limit.

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Pseudoparticle Solutions of the Yang-Mills Equations

Cited by 49 publications

References 0 publications

Classical gauge instantons from open strings

Classical gauge instantons from open strings

Noncommutative Instantons via Dressing and Splitting Approaches

Theta dependence in holographic QCD

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