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Trittmann, Uwe

doi:10.1103/physrevd.66.025001

Cited by 15 publications

(23 citation statements)

References 24 publications

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“…The mass of the single massive boson in the massless quark limit was found to be M (QCD2) = g QCD2 N f /π [52][53][54][55]60]. Our QCD2 × QED2 analysis here indicates that Abelian-type solutions exist also for QCD2 mesons for quarks with two flavors and is not limited to the large N f limit.…”

Section: Bosonization Of Qcd2 × Qed2 For Quarks With Two Flavorsmentioning

confidence: 59%

“…Thus, by using the non-Abelian bosonization in QCD2 but Abelian bosonization in the flavor degrees of freedom in the present treatment, the solutions of Refs. [52][53][54][55] in the large N f limit can be extended down to N f = 2.…”

Section: Bosonization Of Qcd2 × Qed2 For Quarks With Two Flavorsmentioning

confidence: 99%

“…We wish to search for bound states arising from the density oscillations of the color and electric charges of the quarks in QCD2 × QED2 in the strong coupling limit, in which the strength of the QCD2 interaction is much greater than the quark mass. The best method to search for bound states is by bosonization in which bosons are bound and nearly free, with residual sine-Gordon interactions that depend on the quark mass [22,[39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58].…”

Section: Bosonization Of Qcd2 × Qed2 For Quarks With Two Flavorsmentioning

confidence: 99%

“…(42) represents a QCD2 × QED2 generalization of the previous results in Refs. [22,39,40,[42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58][59], where QED2 and QCD2 have been examined separately. In the massless quark limit, the QCD2 and QED2 boson masses are given by |g α u + (−1) I g α d |/ √ 2π .…”

Section: Bosonization Of Qcd2 × Qed2 For Quarks With Two Flavorsmentioning

confidence: 99%

“…Our mass of the QCD2 isoscalar meson in the massless quark limit is M 1 0(QCD2) = g QCD2 √ 2/π , which matches the mass of the massive boson of Refs. [52][53][54][55]60] for N f = 2. Thus, by using the non-Abelian bosonization in QCD2 but Abelian bosonization in the flavor degrees of freedom in the present treatment, the solutions of Refs.…”

Section: Bosonization Of Qcd2 × Qed2 For Quarks With Two Flavorsmentioning

confidence: 99%

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Anomalous soft photons in hadron production

Wong

2010

Phys. Rev. C

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Anomalous soft photons in excess of what is expected from electromagnetic bremsstrahlung have been observed in association with the production of hadrons, mostly mesons, in high-energy K + p, π + p, π − p, pp, and e + e − collisions. We propose a model for the simultaneous production of anomalous soft photons and mesons in quantum field theory, in which the meson production arises from the oscillation of color charge densities of the quarks of the underlying vacuum in the flux tube. Because a quark carries both a color charge and an electric charge, the oscillation of the color charge densities will be accompanied by the oscillation of electric charge densities, which will in turn lead to the simultaneous production of soft photons during the meson production process. How the production of these soft photons may explain the anomalous soft photon data is discussed. Further experimental measurements to test the model are proposed.

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Section: Bosonization Of Qcd2 × Qed2 For Quarks With Two Flavorsmentioning

confidence: 59%

Section: Bosonization Of Qcd2 × Qed2 For Quarks With Two Flavorsmentioning

confidence: 99%

Section: Bosonization Of Qcd2 × Qed2 For Quarks With Two Flavorsmentioning

confidence: 99%

Section: Bosonization Of Qcd2 × Qed2 For Quarks With Two Flavorsmentioning

confidence: 99%

Section: Bosonization Of Qcd2 × Qed2 For Quarks With Two Flavorsmentioning

confidence: 99%

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Anomalous soft photons in hadron production

Wong

2010

Phys. Rev. C

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Solving 2D QCD with an adjoint fermion analytically

Katz

Tavares

2014

J. High Energ. Phys.

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We present an analytic approach to solving 1+1 dimensional QCD with an adjoint Majorana fermion. In the UV this theory is described by a trivial CFT containing free fermions. The quasi-primary operators of this CFT lead to a discrete basis of states which is useful for diagonalizing the Hamiltonian of the full strongly interacting theory. Working at large-N , we find that the decoupling of high scaling-dimension quasi-primary operators from the low-energy spectrum occurs exponentially fast in their scaling-dimension. This suggests a scheme, whereby, truncating the basis to operators of dimension below ∆ max , one can calculate the low-energy spectrum, parametrically to an accuracy of e −∆max (although the precise accuracy depends on the state). Choosing ∆ max = 9.5 we find very good agreement with the known spectrum obtained earlier by numerical DLCQ methods. Specifically, below the first three-particle threshold, we are able to identify all six single-particle bound-states, as well as several two-particle thresholds.

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Exact symmetries and threshold states in two-dimensional models for QCD

Dempsey

Klebanov

Pufu

2021

J. High Energ. Phys.

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Two-dimensional SU(N) gauge theory coupled to a Majorana fermion in the adjoint representation is a nice toy model for higher-dimensional gauge dynamics. It possesses a multitude of “gluinoball” bound states whose spectrum has been studied using numerical diagonalizations of the light-cone Hamiltonian. We extend this model by coupling it to Nf flavors of fundamental Dirac fermions (quarks). The extended model also contains meson-like bound states, both bosonic and fermionic, which in the large-N limit decouple from the gluinoballs. We study the large-N meson spectrum using the Discretized Light-Cone Quantization (DLCQ). When all the fermions are massless, we exhibit an exact $$ \mathfrak{osp} $$ osp (1|4) symmetry algebra that leads to an infinite number of degeneracies in the DLCQ approach. More generally, we show that many single-trace states in the theory are threshold bound states that are degenerate with multi-trace states. These exact degeneracies can be explained using the Kac-Moody algebra of the SU(N) current. We also present strong numerical evidence that additional threshold states appear in the continuum limit. Finally, we make the quarks massive while keeping the adjoint fermion massless. In this case too, we observe some exact degeneracies that show that the spectrum of mesons becomes continuous above a certain threshold. This demonstrates quantitatively that the fundamental string tension vanishes in the massless adjoint QCD2 without explicit four-fermion operators.

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On the spectrum of(1+1)-dimensional QCD withSU(Nc)

Cited by 15 publications

References 24 publications

Anomalous soft photons in hadron production

Anomalous soft photons in hadron production

Solving 2D QCD with an adjoint fermion analytically

Exact symmetries and threshold states in two-dimensional models for QCD

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