Fetching the paper…

Reading the bibliography…

Conformal Ward-Takahashi Identity at Finite Temperature · Around

2018

Conformal Ward-Takahashi Identity at Finite Temperature

Ohya, Satoshi

Original
PDF
Post on X

Understand

We study conformal Ward-Takahashi identities for two-point functions in $d(\geq3)$-dimensional finite-temperature conformal field theory.

We first show that the conformal Ward-Takahashi identities can be translated into the intertwining relations of conformal algebra $\mathfrak{so}(2,d)$.
We then show that, at finite temperature, the intertwining relations can be translated into the recurrence relations for two-point functions in complex momentum space.
By solving these recurrence relations, we find the momentum-space two-point functions that satisfy the Kubo-Martin-Schwinger thermal equilibrium condition.

Built on

R. Haag, N.M. Hugenholtz, M. Winnink, Commun. Math. Phys. 5
1967
Earlier work this paper cites.
S. Ferrara, A.F. Grillo, G. Parisi, R. Gatto, Lett. Nuovo Cim. 4
1972
Earlier work this paper cites.
J.J. Bisognano, E.H. Wichmann, J. Math. Phys. 16
1975
Earlier work this paper cites.
K. Koller, Commun. Math. Phys. 40
1975
Earlier work this paper cites.
J.J. Bisognano, E.H. Wichmann, J. Math. Phys. 17
1976
Earlier work this paper cites.
V.K. Dobrev, G. Mack, V.B. Petkova, S.G. Petrova, I.T. Todorov, Harmonic Analysis on the n n -Dimensional Lorentz Group and Its Application to Conformal Quantum Field Theory
1977
Earlier work this paper cites.

Similar

D. Buchholz, On the structure of local quantum fields with nontrivial interaction, in Operator Algebras, Ideals and their Applications in Theoretical Physics
1978
Cited alongside, same era.
E.S. Fradkin, M.Y. Palchik, Phys. Rept. 44
1978
Cited alongside, same era.
I.T. Todorov, M.C. Mintchev, V.B. Petkova, Conformal Invariance in Quantum Field Theory
Original
1978
Cited alongside, same era.
P.D. Hislop, R. Longo, Commun. Math. Phys. 84
1982
Cited alongside, same era.
G.L. Sewell, Annals Phys. 141
1982
Cited alongside, same era.

Then

S. Takagi, Prog. Theor. Phys. Suppl. 88
1986
Later among the works it cites.
R. Haag, Local Quantum Physics: Fields, Particles, Algebras
1996
Later among the works it cites.
C. Corianò, L. Delle Rose, E. Mottola, M. Serino, JHEP 07
Original
2013
Later among the works it cites.
A. Bzowski, P. McFadden, K. Skenderis, JHEP 03
Original
2014
Later among the works it cites.
S. Ohya, Int. J. Mod. Phys. A32
Original
2017
Later among the works it cites.

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…