Fetching the paper…

Reading the bibliography…

2009

The nilpotent "BRST" symmetry for the Gribov-Zwanziger theory

Kondo, Kei-Ichi

Original
PDF
Post on X

Understand

We have found a nilpotent quantum symmetry of Yang-Mills theory restricted to the Gribov region.

In fact, we give a set of transformations for the filds a la BRST that leaves the Gribov-Zwanziger action invariant and obeys the nilpotency, although the usual BRST symmetry is broken due to the non-vanishing Gribov parameter representing the presence of the Gribov horizon in the configuration space of the Yang-Mills field.
We show that the horizon condition (the gap equation determining the Gribov parameter) follows from the modified BRST invariance of the vacuum.

The nilpotent "BRST" symmetry for the Gribov-Zwanziger theory · Around

Built on

C. Becchi, A. Rouet and R. Stora, Commun. Math. Phys. 42, 127 (1975); Ann. Phys. 98, 287 (1976). I.V. Tyutin, Lebedev preprint, FIAN No.39 (in Russian) (1975)
1975
Earlier work this paper cites.
V.N. Gribov, Nucl. Phys. B 139
1978
Earlier work this paper cites.
T. Kugo and I. Ojima, Suppl. Prog. Theor. Phys. 66
1979
Earlier work this paper cites.
D. Zwanziger, Nucl. Phys. B 323
1989
Earlier work this paper cites.
D. Zwanziger, Nucl. Phys. B 378
1992
Earlier work this paper cites.

Similar

D. Zwanziger, Nucl. Phys. B 399
1993
Cited alongside, same era.
N. Maggiore and M. Schaden, hep-th/9310111, Phys. Rev. D 50
1994
Cited alongside, same era.
S. Furui and H. Nakajima, hep-lat/0609024, Brazilian Journal of Physics 37
2004
Cited alongside, same era.
I.L. Bogolubsky, E.-M. Ilgenfritz and M. Müller-Preussker and A. Sternbeck, arXiv:0901.0736[hep-lat]. A. Cucchieri and T. Mendes, arXiv:0804.2371[hep-lat], Phys. Rev. D 78
Original
2007
Cited alongside, same era.
D. Dudal, J.A. Gracey, S.P. Sorella, N. Vandersickel and H. Verschelde, arXiv:0806.4348[hep-th], Phys. Rev. D78, 065047 (2008). D. Dudal, S.P. Sorella, N. Vandersickel and H. Verschelde, arXiv:0711.4496[hep-th], Phys. Rev. D 77
Original
2008
Cited alongside, same era.
T. Kugo, hep-th/9511033
Cited in the paper.
K.-I. Kondo, arXiv:0904.4897[hep-th]
Original
Cited in the paper.
S.P. Sorella, arXiv:0905.1010[hep-th]
Original
Cited in the paper.

Then

Ph. Boucaud, J.P. Leroy, A. Le Yaouanc, J. Micheli, O. Pene and J. Rodriguez-Quintero, hep-ph/0803.2161, JHEP 06, 099 (2008). Ph. Boucaud, J.P. Leroy, A. Le Yaouanc, J. Micheli, O. Pene and J. Rodriguez-Quintero, arXiv:0801.2721[hep-ph], JHEP 06, 012 (2008)
Original
2008
Later among the works it cites.
A.C. Aguilar, D. Binosi and J. Papavassiliou, arXiv:0802.1870 [hep-ph], Phys. Rev. D 78
Original
2008
Later among the works it cites.
L. Baulieu and S.P. Sorella, arXiv:0808.1356[hep-th], Phys. Lett. B 671
Original
2009
Closest in time.
A. Maas, arXiv:0808.3047[hep-lat], Phys. Rev. D 79
Original
2009
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…