Finite-Temperature Conformal Field Theory Results for All Couplings: O(N) Model in 2+1 Dimensions - INSPIRE

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Finite-Temperature Conformal Field Theory Results for All Couplings: O(N) Model in 2+1 Dimensions

Paul Romatschke
(
- Colorado U.
)

Apr 22, 2019

5 pages

Published in:

Phys.Rev.Lett. 122 (2019) 23, 231603,
Phys.Rev.Lett. 123 (2019) 20, 209901 (erratum)

Published: Jun 14, 2019

e-Print:

1904.09995 [hep-th]

DOI:

10.1103/PhysRevLett.122.231603,
10.1103/PhysRevLett.123.209901 (erratum)

View in:

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Abstract: (APS)

A famous example of gauge-gravity duality is the result that the entropy density of the strongly coupled N=4 supersymmetric Yang-Mills theory in four dimensions for large N is exactly 3/4 of the Stefan-Boltzmann limit. In this work, I revisit the massless O(N) model in 2+1 dimensions, which is analytically solvable at a finite-temperature T for all couplings λ in the large N limit. I find that the entropy density monotonically decreases from the Stefan-Boltzmann limit at λ=0 to exactly 4/5 of the Stefan-Boltzmann limit at λ=∞. Calculating the retarded energy-momentum tensor correlator in the scalar channel at λ=∞, I find that it has two logarithmic branch cuts originating at ω=±4Tln(1+5/2) but no singularities in the whole complex frequency plane. I show that the ratio 4/5 and the location of the branch points both are universal within a large class of bosonic conformal field theories in 2+1 dimensions.

Note:

5 pages, 1 figure; v2: typos fixed, new section on universality of 4/5 ratio; v3: matches published version; v4: typos/errors corrected

Elementary Particles and Fields
dimension: 4
gravitation: duality
entropy: density
dimension: 3
model: O(N)
field theory: conformal
finite temperature
strong coupling
expansion 1/N

References(16)

Figures(1)

[1]

The Large $N$ limit of superconformal field theories and supergravity

Juan Martin Maldacena
(
- Harvard U.
)

- Int.J.Theor.Phys. 38 (1999) 1113-1133 (reprint),
- Adv.Theor.Math.Phys. 2 (1998) 231-252
•
e-Print:
- hep-th/9711200
•
DOI:
- 10.4310/ATMP.1998.v2.n2.a1

[1]

The Large $N$ limit of superconformal field theories and supergravity

Juan Martin Maldacena
(
- Harvard U.
)

- Int.J.Theor.Phys. 38 (1999) 1113-1133 (reprint),
- Adv.Theor.Math.Phys. 2 (1998) 231-252
•
e-Print:
- hep-th/9711200
•
DOI:
- 10.4310/ATMP.1998.v2.n2.a1

[2]

Coupling constant dependence in the thermodynamics of N=4 supersymmetric Yang-Mills theory

Steven S. Gubser
(
- Princeton U.
)
,
Igor R. Klebanov
(
- Princeton, Inst. Advanced Study
)
,
Arkady A. Tseytlin
(
- Imperial Coll., London and
- Lebedev Inst.
)

- Nucl.Phys.B 534 (1998) 202-222
•
e-Print:
- hep-th/9805156
•
DOI:
- 10.1016/S0550-3213(98)00514-8

[3]

Hard thermal loops and the entropy of supersymmetric Yang-Mills theories

- JHEP 06 (2007) 035
•
e-Print:
- hep-ph/0611393
•
DOI:
- 10.1088/1126-6708/2007/06/035

[4]

Basics of Thermal Field Theory

Mikko Laine
(
- U. Bern, AEC
)
,
Aleksi Vuorinen
(
- Helsinki U. and
- Helsinki Inst. of Phys.
)

- Lect.Notes Phys. 925 (2016) pp.1-281
•
e-Print:
- 1701.01554
•
DOI:
- 10.1007/978-3-319-31933-9

[5]

AdS dual of the critical O(N) vector model

I.R. Klebanov
(
- Princeton U.
)
,
A.M. Polyakov
(
- Princeton U.
)

- Phys.Lett.B 550 (2002) 213-219
•
e-Print:
- hep-th/0210114
•
DOI:
- 10.1016/S0370-2693(02)02980-5

[6]

Polylogarithm identities in a conformal field theory in three-dimensions

Subir Sachdev
(
- Yale U.
)

- Phys.Lett.B 309 (1993) 285-288
•
e-Print:
- hep-th/9305131
•
DOI:
- 10.1016/0370-2693(93)90935-B

[7]

Spatial dependence of the finite temperature meson correlation function

Wojciech Florkowski
(
- Cracow, INP and
- Darmstadt, GSI
)
,
Bengt L. Friman
(
- Darmstadt, GSI and
- Darmstadt, Tech. Hochsch.
)

- Z.Phys.A 347 (1994) 271-276
•
DOI:
- 10.1007/BF01289794

[8]

Foam diagram summation at finite temperature

- Nucl.Phys.B 524 (1998) 579-600
•
e-Print:
- hep-ph/9708426
•
DOI:
- 10.1016/S0550-3213(98)00210-7

[9]

Simple non-perturbative resummation schemes beyond mean-field II: Thermodynamics of scalar $\phi^4$ theory in 1 + 1 dimensions at arbitrary coupling

Paul Romatschke
(
- Colorado U.
)

- Mod.Phys.Lett.A 35 (2020) 09, 2050054
•
e-Print:
- 1903.09661
•
DOI:
- 10.1142/S0217732320500546

[10]

Relativistic viscous hydrodynamics, conformal invariance, and holography

Rudolf Baier
(
- Bielefeld U.
)
,
Paul Romatschke
(
- Washington U., Seattle
)
,
Dam Thanh Son
(
- Washington U., Seattle
)
,
Andrei O. Starinets
(
- Southampton U.
)
,
Mikhail A. Stephanov
(
- Illinois U., Chicago
)

- JHEP 04 (2008) 100
•
e-Print:
- 0712.2451
•
DOI:
- 10.1088/1126-6708/2008/04/100

[11]

Hydrodynamic transport coefficients in relativistic scalar field theory

Sangyong Jeon
(
- Washington U., Seattle
)

- Phys.Rev.D 52 (1995) 3591-3642
•
e-Print:
- hep-ph/9409250
•
DOI:
- 10.1103/PhysRevD.52.3591

[12]

AdS black holes and thermal Yang-Mills correlators

Sean A. Hartnoll
(
- Cambridge U., DAMTP
)
,
S.Prem Kumar
(
- Cambridge U., DAMTP and
- Swansea U.
)

- JHEP 12 (2005) 036
•
e-Print:
- hep-th/0508092
•
DOI:
- 10.1088/1126-6708/2005/12/036

[13]

The quasi-normal modes of quantum criticality

- Phys.Rev.B 86 (2012) 235115
•
e-Print:
- 1210.4166
•
DOI:
- 10.1103/PhysRevB.86.235115

[14]

Minkowski space correlators in AdS / CFT correspondence: Recipe and applications

- JHEP 09 (2002) 042
•
e-Print:
- hep-th/0205051
•
DOI:
- 10.1088/1126-6708/2002/09/042

[15]

Simple non-perturbative resummation schemes beyond mean-field: case study for scalar $\phi^4$ theory in 1+1 dimensions

Paul Romatschke
(
- Colorado U.
)

- JHEP 03 (2019) 149
•
e-Print:
- 1901.05483
•
DOI:
- 10.1007/JHEP03(2019)149