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Chiral susceptibility and the scalar Ward identity
Chang, Lei2; Liu, Yu-xin3,4,5; Roberts, Craig D.1,6; Shi, Yuan-mei7; Sun, Wei-min7,8; Zong, Hong-shi7,8
2009-03-01
Source PublicationPHYSICAL REVIEW C
Volume79Issue:3
AbstractThe chiral susceptibility is given by the scalar vacuum polarization at zero total momentum. This follows directly from the expression for the vacuum quark condensate so long as a nonperturbative symmetry preserving truncation scheme is employed. For QCD in-vacuum the susceptibility can rigorously be defined via a Pauli-Villars regularization procedure. Owing to the scalar Ward identity, irrespective of the form or Ansatz for the kernel of the gap equation, the consistent scalar vertex at zero total momentum can automatically be obtained and hence the consistent susceptibility. This enables calculation of the chiral susceptibility for markedly different vertex Ansatze. For the two cases considered, the results were consistent and the minor quantitative differences easily understood. The susceptibility can be used to demarcate the domain of coupling strength within a theory upon which chiral symmetry is dynamically broken. Degenerate massless scalar and pseudoscalar bound-states appear at the critical coupling for dynamical chiral symmetry breaking.
WOS HeadingsScience & Technology ; Physical Sciences
DOI10.1103/PhysRevC.79.035209
WOS KeywordDYSON-SCHWINGER EQUATIONS ; QUARK BOUND-STATES ; QUANTUM CHROMODYNAMICS ; VACUUM SUSCEPTIBILITY ; SYMMETRY BREAKING ; DECAY CONSTANT ; MODEL ; QCD ; CONFINEMENT ; LATTICE
Indexed BySCI
Language英语
WOS Research AreaPhysics
WOS SubjectPhysics, Nuclear
WOS IDWOS:000264766100057
Citation statistics
Cited Times:42[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://libir.pmo.ac.cn/handle/332002/15919
Collection暗物质和空间天文实验室
Affiliation1.Argonne Natl Lab, Div Phys, Argonne, IL 60439 USA
2.Inst Appl Phys & Computat Math, Beijing 100094, Peoples R China
3.Peking Univ, Dept Phys, Beijing 100871, Peoples R China
4.Peking Univ, State Key Lab Nucl Phys & Technol, Beijing 100871, Peoples R China
5.Natl Lab Heavy Ion Accelerator, Ctr Theoret Nucl Phys, Lanzhou 730000, Peoples R China
6.Univ New S Wales, Sch Phys, Sydney, NSW 2052, Australia
7.Nanjing Univ, Dept Phys, Nanjing 210093, Peoples R China
8.Joint Ctr Particle Nucl Phys & Cosmol, Nanjing 210093, Peoples R China
Recommended Citation
GB/T 7714
Chang, Lei,Liu, Yu-xin,Roberts, Craig D.,et al. Chiral susceptibility and the scalar Ward identity[J]. PHYSICAL REVIEW C,2009,79(3).
APA Chang, Lei,Liu, Yu-xin,Roberts, Craig D.,Shi, Yuan-mei,Sun, Wei-min,&Zong, Hong-shi.(2009).Chiral susceptibility and the scalar Ward identity.PHYSICAL REVIEW C,79(3).
MLA Chang, Lei,et al."Chiral susceptibility and the scalar Ward identity".PHYSICAL REVIEW C 79.3(2009).
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