Chiral symmetry and Heun's equation
- Authors
- Choun, Yoon-Seok; Sin, Sang-Jin
- Issue Date
- Mar-2020
- Publisher
- WORLD SCIENTIFIC PUBL CO PTE LTD
- Keywords
- Chiral symmetry; quark mass; confinement; Heun' s equation
- Citation
- INTERNATIONAL JOURNAL OF MODERN PHYSICS A, v.35, no.7
- Indexed
- SCIE
SCOPUS
- Journal Title
- INTERNATIONAL JOURNAL OF MODERN PHYSICS A
- Volume
- 35
- Number
- 7
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/146098
- DOI
- 10.1142/S0217751X20500384
- ISSN
- 0217-751X
- Abstract
- We show that the current quark mass should vanish to be consistent with the QCD color confinement: a bag model leads us to Heun's equation, which requests that not only the energy but also the string tension should be quantized. This is due to the presence of higher-order singularity which requests higher regularity condition demanding that parameters of the theory should be related to one another. As a result, the Hadron spectrum is consistent with the Regge trajectory only when quark mass vanishes. Therefore, in this model, the chiral symmetry is a consequence of the confinement.
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