A holographic description of theta-dependent Yang-Mills theory at finite temperature *

Li, Si-wen

doi:10.1088/1674-1137/44/1/013103

Cited by 9 publications

(6 citation statements)

References 68 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We specifically analyze the behaviors of the embedding functions of the various D7-branes and evaluate the associated free energy density by including both flavors and CS term. The result illustrates the topological phase transition which is enhanced by the D-instantons and it seems to be qualitatively consistent with that the presence of CS term topologically contributes to the mass parameter [28] and the D0-D4 approach in 4d [29,30,31,32].…”

Section: Introductionsupporting

confidence: 83%

Three-dimensional Yang-Mills Chern-Simons theory from D3-brane background with D-instantons

Li,

Luo,

Tan

2021

Preprint

Self Cite

View full text Add to dashboard Cite

By constructing the configuration of D3-branes with D(-1)-branes as D-instantons, we study the three-dimensional Yang-Mills Chern-Simons theory in holography. Due to the presence of the D-instantons, the D7-branes with discrepant embedding functions are able to be introduced in order to include the fundamental fermions (as flavors) and the Chern-Simons term (at very low energy) in the dual theory. The vacuum structure at zero temperature is studied in the soliton background and it illustrates the topological phase transition in the presence of instantons. Moreover, since the confinement/deconfinement phase transition could be holographically identified as the Hawking-Page transition in the bulk, we accordingly calculate the critical temperature of the deconfinement phase transition by collecting the bulk onshell action as the thermodynamical free energy. On the other hand, we evaluate the difference of the entanglement entropy in slab configuration by using the RT formula since the confinement may also be characterized by the entanglement entropy. Altogether we find the behavior of the critical temperature is in qualitative agreement with the behavior of the critical length determined by the entanglement entropy which implies the entanglement entropy could indeed be a character of the confinement in our setup and the D3-D(-1) system would be a remarkable approach to study the three-dimensional gauge theory.

show abstract

Section: Introductionsupporting

confidence: 83%

Three-dimensional Yang-Mills Chern-Simons theory from D3-brane background with D-instantons

Li,

Luo,

Tan

2021

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…Although the experimental value of the θ parameter is very small, it may influence many observable effects in gauge theories e.g. the deconfinement phase transition [16,17], the glueball spectrum [18], the CP violation in hot QCD [19,20], the chiral magnet effect [21,22], the large N limit [23] and its holographic correspondence [24,25,26,27]. Accordingly, the holographic duality proposed in [12] becomes a topical issue at one stage.…”

Section: Introductionmentioning

confidence: 99%

Holographic $\mathrm{QCD}_{3}$ and Chern-Simons theory from anisotropic supergravity

Li,

Luo,

2022

Preprint

Self Cite

View full text Add to dashboard Cite

Based on the gauge-gravity duality, we study the three-dimensional QCD (QCD 3 ) and Chern-Simons theory by constructing the anisotropic black D3-brane solution in IIB supergravity. The deformed bulk geometry is obtained by performing a double Wick rotation and dimension reduction which becomes an anisotropic bubble configuration exhibiting confinement in the dual theory. And its anisotropy also reduces to a Chern-Simons term due to the presence of the dissolved D7-branes or the axion field in bulk. Using the bubble geometry, we investigate the the ground-state energy density, quark potential, entanglement entropy and the baryon vertex according to the standard methods in the AdS/CFT dictionary. Our calculation shows that the ground-state energy illustrates degenerate to the Chern-Simons coupling coefficient which is in agreement with the properties of the gauge Chern-Simons theory. The behavior of the quark tension, entanglement entropy and the embedding of the baryon vertex further implies strong anisotropy may destroy the confinement. Afterwards, we additionally introduce various D7-branes as flavor and Chern-Simons branes to include the fundamental matter and effective Chern-Simons level in the dual theory. By counting their orientation, we finally obtain the associated topological phase in the dual theory and the critical mass for the phase transition. Interestingly the formula of the critical mass reveals the flavor or chiral symmetry would be restored if the anisotropy increases greatly. As all of the analysis is consistent with characteristics of quark-gluon plasma, we therefore believe our framework provides a remarkable way to understand the features of Chern-Simons theory, the strong coupled nuclear matter and its deconfinement condition with anisotropy.

show abstract

“…the phase transition from insulator to conductor in some material. The D0-D4 case: According to the previous study in this system [27,[29][30][31]36,41,42], the dual field theory is confining Yang-Mills theory with a theta term (D-instanton density) and the particle mass spectrum is increased by the presence of the D-instantons (D0-branes). Hence the particle creation in Schwinger effect should also be suppressed or namely the total potential barrier is increased by the instantons which is consistent with the holographic analysis in this work.…”

Section: Summary and Discussionmentioning

confidence: 99%

“…This can be achieved by considering the black D(-1)-D3 [22][23][24][25] and D0-D4 brane solution [26,27] with a double Wick rotation, following the discussion in [18,19]. Afterwards the D(-1) and D0-branes play the role of the Dinstantons and holographically correspond to the coupling constant of the Chern-Simons term or the theta angle in the dual theory [27][28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Holographic Schwinger effect in the confining background with D-instanton

2021

Eur. Phys. J. C

Self Cite

View full text Add to dashboard Cite

Using the gauge-gravity duality, we study the holographic Schwinger effect by performing the potential analysis on the confining D3- and D4-brane background with D-instantons then evaluate the pair production/decay rate by taking account into a fundamental string and a single flavor brane respectively. The two confining backgrounds with D-instantons are obtained from the black D(-1)–D3 and D0–D4 solution with a double Wick rotation. The total potential and pair production/decay rate in the Schwinger effect are calculated numerically by examining the NG action of a fundamental string and the DBI action of a single flavor brane all in the presence of an electric field. In both backgrounds our numerical calculation agrees with the critical electric field evaluated from the DBI action and shows the potential barrier is increased by the presence of the D-instantons, thus the production/decay rate is suppressed by the D-instantons. The interpretation is that particles in the dual field theory could acquire an effective mass through the Chern-Simons interaction or the theta term due to the presence of D-instantons so that the pair production/decay rate in Schwinger effect is suppressed since it behaves as $$e^{-m^{2}}$$ e - m 2 . This conclusion is in agreement with the previous results obtained in the deconfined D(-1)–D3 background at zero temperature limit and from the approach of the flavor brane in the D0–D4 background. In this sense, this work may be also remarkable to study the phase transition in Maxwell–Chern–Simons theory and observable effects by the theta angle in QCD.

show abstract

A holographic description of theta-dependent Yang-Mills theory at finite temperature *

Cited by 9 publications

References 68 publications

Three-dimensional Yang-Mills Chern-Simons theory from D3-brane background with D-instantons

Three-dimensional Yang-Mills Chern-Simons theory from D3-brane background with D-instantons

Holographic $\mathrm{QCD}_{3}$ and Chern-Simons theory from anisotropic supergravity

Holographic Schwinger effect in the confining background with D-instanton

Contact Info

Product

Resources

About