Transverse symmetry transformations and the quark-gluon vertex function in QCD

He, Han-xin

doi:10.1103/physrevd.80.016004

Cited by 28 publications

(33 citation statements)

References 38 publications

(28 reference statements)

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“…Vector and axial vector tWTIs have been proposed [8][9][10][11] in Abelian and non-Abelian cases. In this paper, we focus on the Abelian case only, while the non-Abelian generalization is presented in Appendix A [see Eq.…”

Section: Review Of Twtismentioning

confidence: 99%

“…The Abelian vector tWTI 6 is often presented as [10,11] [without anomaly; the generalization that includes more…”

Section: Review Of Twtismentioning

confidence: 99%

“…Before starting, it is necessary to reduce both (9) and (10) to simpler forms. The apparently nonlocal…”

Section: Review Of Twtismentioning

confidence: 99%

“…To our knowledge, however, no paper has discussed anomalies in WTIs that do not stand for any symmetry. Our research on anomalies in the transverse Ward-Takahashi identity [8][9][10][11] (tWTI), which is not a symmetry WTI, has opened the door to nonsymmetry anomalies. The content of nonsymmetry WTIs is much richer than that of symmetry WTIs, and the anomaly may be largely extended and more exposed to us such that we may see the nature of the anomaly more deeply.…”

Section: Introductionmentioning

confidence: 99%

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Beyond symmetries: Anomalies in transverse Ward-Takahashi identities

Wang

2020

Phys. Rev. D

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Anomalies in transverse Ward-Takahashi identities are studied, allowing discussion of the feasibility of anomalies arising in general nonsymmetry Ward-Takahashi identities. We adopt the popular Fujikawa method and rigorous dimensional renormalization to verify the existence of transverse anomalies to oneloop order and any loop order, respectively. The arbitrariness of coefficients of transverse anomalies is revealed, and a way out is also proposed after relating transverse anomalies to Schwinger terms and comparing symmetry and nonsymmetry anomalies. Papers that claim the nonexistence of transverse anomalies are reviewed to find anomalies hidden in their approaches. The role played by transverse anomalies is discussed.

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Section: Review Of Twtismentioning

confidence: 99%

“…The Abelian vector tWTI 6 is often presented as [10,11] [without anomaly; the generalization that includes more…”

Section: Review Of Twtismentioning

confidence: 99%

“…Before starting, it is necessary to reduce both (9) and (10) to simpler forms. The apparently nonlocal…”

Section: Review Of Twtismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Beyond symmetries: Anomalies in transverse Ward-Takahashi identities

Wang

2020

Phys. Rev. D

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“…We went a step further and analyzed the DCSB of a nonperturbative quark-gluon vertex model whose "longitudinal" components constitute a ghost-improved Ball-Chiu vertex [20,25], whereas the transverse vertex consists of relevant tensor structures derived from two transverse STIs [50]. We deliberately neglect contributions from the quark-ghost scattering kernel, as their effect is of minor order than that of the transverse vertex.…”

Section: Final Remarksmentioning

confidence: 99%

Interplay of dynamical and explicit chiral symmetry breaking effects on a quark

2019

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The relative contributions of explicit and dynamical chiral symmetry breaking in QCD models of the quark-gap equation are studied in dependence of frequently employed ansätze for the dressed interaction and quark-gluon vertex. The explicit symmetry breaking contributions are defined by a constituent-quark sigma term whereas the combined effects of explicit and dynamical symmetry breaking are described by a Euclidean constituent-mass solution. We extend this study of the gap equation to a quark-gluon vertex beyond the Abelian approximation complemented with numerical gluon-and ghost-dressing functions from lattice QCD. We find that the ratio of the sigma term over the Euclidean mass is largely independent of nonperturbative interaction and vertex models for current-quark masses, m u,d (µ) ≤ m(µ) ≤ m b (µ), and equal contributions of explicit and dynamical chiral symmetry breaking occur at m(µ) ≈ 400 MeV. For massive solutions of the gap equation with lattice propagators this value decreases to about 220 MeV.

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A model study of quark number susceptibility at finite temperature beyond rainbow-ladder approximation

Jiang

Luo

Zong

2011

J. High Energ. Phys.

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In this paper we calculate the quark number susceptibility (QNS) of QCD at finite temperature under the rainbow-ladder and Ball-Chiu type truncation schemes of the Dyson-Schwinger approach.It is found that the difference between the result of the rainbow-ladder truncation and that of Ball-Chiu type truncation is small, which shows that the dressing effect of the quark-gluon vertex on the QNS at finite temperature is small. It is also found that at low temperature the quark number susceptibility is nearly zero and it increases sharply when the temperature approaches the chiral phase transition point. A comparison between the result in the present paper with those in the literature is made.

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Transverse symmetry transformations and the quark-gluon vertex function in QCD

Cited by 28 publications

References 38 publications

Beyond symmetries: Anomalies in transverse Ward-Takahashi identities

Beyond symmetries: Anomalies in transverse Ward-Takahashi identities

Interplay of dynamical and explicit chiral symmetry breaking effects on a quark

A model study of quark number susceptibility at finite temperature beyond rainbow-ladder approximation

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