Deconfinement phase transition of thermal 
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Xia, Yonghui; Feng, Hong-Tao; Zong, Hong-Shi

doi:10.1103/physrevd.98.074019

Cited by 2 publications

(2 citation statements)

References 39 publications

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“…Several authors also attempted to study this problem in various ways, such as via constraints [13][14][15][16][17][18][19] and direct numerical solution [20][21][22][23][24]. For instance, Qin etc., [25] consider the coupling of a dressed-fermion to an Abelian gauge boson, and describe a unified treatment and solution of the longitudinal and transverse WTI. The vector vertex is discussed by using twelve independent tensor structures.…”

Section: Introductionmentioning

confidence: 99%

Transverse Ward-Takahashi identities and full vertex functions in different representations of QED₃ *

Luo

Zong

2020

Chinese Phys. C

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We derive the transverse Ward-Takahashi identities (WTI) of N-dimensional quantum electrodynamics by means of the canonical quantization method and the path integration method, and subsequently attempt to prove that QED3 is solvable based on the transverse and longitudinal WTI, indicating that the full vector and tensor vertices functions can be expressed in terms of the fermion propagators in QED3. Further, we discuss the effect of different γ matrix representations on the full vertex function.

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Section: Introductionmentioning

confidence: 99%

Transverse Ward-Takahashi identities and full vertex functions in different representations of QED₃ *

Luo

Zong

2020

Chinese Phys. C

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“…Since QED 3 can be regarded as an effective theory of high temperature superconductivity or as a toy model of quantum chromodynamics (QCD), this makes the research on QED 3 especially interesting (related references can be found in the literature in Ref. [15]). The main purpose of this paper is to try to construct a closed DSEs by three-point and two-point Green's functions in the case of QED 3 .…”

Section: Introductionmentioning

confidence: 99%

Transverse Ward-Takahashi Identities and Full Vertices Functions in Different Representation in QED$_3$

Luo,

Zong

2019

Preprint

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We first derive the transverse Ward-Takahashi identities (WTI) of 3-dimensional quantum electrodynamics (QED 3 ) by means of the canonical quantization method and the path integration method, and then prove for the first time that QED 3 is strictly solvable based on the transverse WTI and the longitudinal WTI, that is, the full vector and tensor vertices functions can be expressed in term of the fermion propagators in QED 3 . Further, we discuss the effect of different γ matrix representations on the full fermion-boson vertex function. It is found that the full vector vertex function does not depend on the different γ matrix representation we use, i.e., it does not depend on whether we use 4 × 4 representation or 2 × 2 representation. But the tensor vertex function depends on the representation we use.

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Deconfinement phase transition of thermal QED3

Cited by 2 publications

References 39 publications

Transverse Ward-Takahashi identities and full vertex functions in different representations of QED₃ *

Transverse Ward-Takahashi identities and full vertex functions in different representations of QED₃ *

Transverse Ward-Takahashi Identities and Full Vertices Functions in Different Representation in QED$_3$

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Deconfinement phase transition of thermal QED3

Cited by 2 publications

References 39 publications

Transverse Ward-Takahashi identities and full vertex functions in different representations of QED3 *

Transverse Ward-Takahashi identities and full vertex functions in different representations of QED3 *

Transverse Ward-Takahashi Identities and Full Vertices Functions in Different Representation in QED$_3$

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Transverse Ward-Takahashi identities and full vertex functions in different representations of QED₃ *

Transverse Ward-Takahashi identities and full vertex functions in different representations of QED₃ *