Built on

K.-I. Kondo, Y. Suda, M. Ohuchi, R. Matsudo, and Y. Hayashi, Chiba University Report No. CHIBA-EP-231, 2018 [arXiv:1812.00132 [hep-th]]; Chiba University Report No. CHIBA-EP-238, 2019 [arXiv:1902.08894 [hep-th]]
Original
1902
Earlier work this paper cites.
Ph. Boucaud, J.P. Leroy, A. Le Yaouanc, J. Micheli, O. Pene, and J. Rodriguez-Quintero, J. High Energy Phys. 06 (2008) 099 [arXiv:hep-ph/0803.2161]; A.C. Aguilar, D. Binosi, and J. Papavassiliou, Phys. Rev. D 78
Original
1936
Earlier work this paper cites.
H. Umezawa and S. Kamefuchi, Prog. Theor. Phys. 6
1954
Earlier work this paper cites.
J. C. Taylor, Nucl. Phys. B33
1971
Earlier work this paper cites.
G. Curci and R. Ferrari, Nuovo Cimento A 32
1978
Earlier work this paper cites.
V.N. Gribov. Nucl. Phys. B139
1978
Earlier work this paper cites.
E. Fradkin and S. H. Shenker, Phys. Rev. D 19
1979
Earlier work this paper cites.
R. Oehme and W. Zimmermann, Phys. Rev. D 21
1980
Earlier work this paper cites.
R. Oehme and W. Zimmermann, Phys. Rev. D 21
1980
Earlier work this paper cites.
K. Osterwalder and E. Seiler, Ann. Phys. (N.Y.) 110
1982
Earlier work this paper cites.
M. Stingl, Phys. Rev. D 34
1987
Earlier work this paper cites.
D. Zwanziger, Nucl. Phys. B345
1990
Earlier work this paper cites.
K.-I. Kondo, Chiba University Report No. CHIBA-EP-139, 2003 [arXiv:hep-th/0303251]
2003
Earlier work this paper cites.

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2018

Complex poles and spectral function of Yang-Mills theory

Hayashi, Yui, Kondo, Kei-Ichi

Understand

We derive general relationships between the number of complex poles of a propagator and the sign of the spectral function originating from the branch cut in the Minkowski region under some assumptions on the asymptotic behaviors of the propagator.

We apply this relation to the mass-deformed Yang-Mills model with one-loop quantum corrections, which is identified with a low-energy effective theory of the Yang-Mills theory, to show that the gluon propagator in this model has a pair of complex conjugate poles or "tachyonic" poles of multiplicity two, in accordance with the fact that the gluon field has a negative spectral function, while the ghost propagator has at most one "unphysical" pole.
Finally, we discuss implications of these results for gluon confinement and other non-perturbative aspects of the Yang-Mills theory.

Built on

K.-I. Kondo, Y. Suda, M. Ohuchi, R. Matsudo, and Y. Hayashi, Chiba University Report No. CHIBA-EP-231, 2018 [arXiv:1812.00132 [hep-th]]; Chiba University Report No. CHIBA-EP-238, 2019 [arXiv:1902.08894 [hep-th]]
Original
1902
Earlier work this paper cites.
Ph. Boucaud, J.P. Leroy, A. Le Yaouanc, J. Micheli, O. Pene, and J. Rodriguez-Quintero, J. High Energy Phys. 06 (2008) 099 [arXiv:hep-ph/0803.2161]; A.C. Aguilar, D. Binosi, and J. Papavassiliou, Phys. Rev. D 78
Original
1936
Earlier work this paper cites.
H. Umezawa and S. Kamefuchi, Prog. Theor. Phys. 6
1954
Earlier work this paper cites.
J. C. Taylor, Nucl. Phys. B33
1971
Earlier work this paper cites.
G. Curci and R. Ferrari, Nuovo Cimento A 32
1978
Earlier work this paper cites.
V.N. Gribov. Nucl. Phys. B139
1978
Earlier work this paper cites.
E. Fradkin and S. H. Shenker, Phys. Rev. D 19
1979
Earlier work this paper cites.
R. Oehme and W. Zimmermann, Phys. Rev. D 21
1980
Earlier work this paper cites.
R. Oehme and W. Zimmermann, Phys. Rev. D 21
1980
Earlier work this paper cites.
K. Osterwalder and E. Seiler, Ann. Phys. (N.Y.) 110
1982
Earlier work this paper cites.
M. Stingl, Phys. Rev. D 34
1987
Earlier work this paper cites.
D. Zwanziger, Nucl. Phys. B345
1990
Earlier work this paper cites.
K.-I. Kondo, Chiba University Report No. CHIBA-EP-139, 2003 [arXiv:hep-th/0303251]
2003
Earlier work this paper cites.