Fetching the paper…

Reading the bibliography…

2011

On \epsilon-conjecture in a-theorem

Nakayama, Yu

Original
PDF
Post on X

Understand

The derivation of the a-theorem recently proposed by Komargodski and Schwimmer relies on the \epsilon-conjecture that demands decoupling of dilaton from the rest of the infrared theory.

We point out that the decoupling, if true, provides a strong evidence for the equivalence between scale invariance and conformal invariance in four dimension.
Thus, a complete proof of the a-theorem along the line of their argument in the most generic scenario would establish the equivalence between scale invariance and conformal invariance, which is another long-standing conjecture in four-dimensional quantum field theories.

On \epsilon-conjecture in a-theorem · Around

Built on

N. D. Birrell, P. C. W. Davies, Cambridge, Uk: Univ. Pr. ( 1982) 340p
1982
Earlier work this paper cites.
A. B. Zamolodchikov, JETP Lett. 43
1986
Earlier work this paper cites.
M. Lüscher and G. Mack, 1976, unpublished; G. Mack, “NONPERTURBATIVE QUANTUM FIELD THEORY. PROCEEDINGS, NATO ADVANCED STUDY INSTITUTE, CARGESE, FRANCE, JULY 16-30, 1987”
1987
Earlier work this paper cites.
J. L. Cardy, Phys. Lett. B215
1988
Earlier work this paper cites.
J. Polchinski, Nucl. Phys. B 303
1988
Earlier work this paper cites.
I. Jack, H. Osborn, Nucl. Phys. B343
1990
Earlier work this paper cites.

Similar

L. Girardello, M. Petrini, M. Porrati and A. Zaffaroni, JHEP 9812
1998
Cited alongside, same era.
P. Baseilhac and V. A. Fateev, Nucl. Phys. B 532
1998
Cited alongside, same era.
D. Z. Freedman, S. S. Gubser, K. Pilch and N. P. Warner, Adv. Theor. Math. Phys. 3
1999
Cited alongside, same era.
V. Riva, J. L. Cardy, Phys. Lett. B622
2005
Cited alongside, same era.
A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis, R. Rattazzi, JHEP 0610
2006
Cited alongside, same era.
Z. Komargodski, A. Schwimmer, [arXiv:1107.3987 [hep-th]]
Original
Cited in the paper.
D. Dorigoni, V. S. Rychkov, [arXiv:0910.1087 [hep-th]]

Then

Y. Nakayama, JHEP 1001
Original
2010
Later among the works it cites.
R. Jackiw, S. -Y. Pi, J. Phys. A A44
Original
2011
Closest in time.
S. El-Showk, Y. Nakayama, S. Rychkov, Nucl. Phys. B848
Original
2011
Closest in time.
J. -F. Fortin, B. Grinstein, A. Stergiou, Phys. Lett. B704
Original
2011
Closest in time.
R. C. Myers, A. Sinha, JHEP 1101
Original
2011
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…

Cited in the paper.

J. -F. Fortin, B. Grinstein, A. Stergiou, [arXiv:1107.3840 [hep-th]]

Cited in the paper.

Y. Nakayama, [arXiv:1109.5883 [hep-th]]

Cited in the paper.

Y. Nakayama, arXiv:0907.0227 [hep-th]

Cited in the paper.

Y. Nakayama, [arXiv:1009.0491 [hep-th]]

Cited in the paper.

R. C. Myers and A. Sinha, arXiv:1006.1263 [hep-th]

Cited in the paper.