# Two-loop renormalization of multiflavor Φ³ theory in six dimensions and the trace anomaly

- Authors:

- Publication Date:

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1209758

- Grant/Contract Number:
- SC0009919

- Resource Type:
- Publisher's Accepted Manuscript

- Journal Name:
- Physical Review. D, Particles, Fields, Gravitation and Cosmology

- Additional Journal Information:
- Journal Name: Physical Review. D, Particles, Fields, Gravitation and Cosmology Journal Volume: 92 Journal Issue: 4; Journal ID: ISSN 1550-7998

- Publisher:
- American Physical Society

- Country of Publication:
- United States

- Language:
- English

### Citation Formats

```
Grinstein, Benjamín, Stergiou, Andreas, Stone, David, and Zhong, Ming. Two-loop renormalization of multiflavor Φ³ theory in six dimensions and the trace anomaly. United States: N. p., 2015.
Web. doi:10.1103/PhysRevD.92.045013.
```

```
Grinstein, Benjamín, Stergiou, Andreas, Stone, David, & Zhong, Ming. Two-loop renormalization of multiflavor Φ³ theory in six dimensions and the trace anomaly. United States. doi:10.1103/PhysRevD.92.045013.
```

```
Grinstein, Benjamín, Stergiou, Andreas, Stone, David, and Zhong, Ming. Tue .
"Two-loop renormalization of multiflavor Φ³ theory in six dimensions and the trace anomaly". United States. doi:10.1103/PhysRevD.92.045013.
```

```
@article{osti_1209758,
```

title = {Two-loop renormalization of multiflavor Φ³ theory in six dimensions and the trace anomaly},

author = {Grinstein, Benjamín and Stergiou, Andreas and Stone, David and Zhong, Ming},

abstractNote = {},

doi = {10.1103/PhysRevD.92.045013},

journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},

number = 4,

volume = 92,

place = {United States},

year = {2015},

month = {8}

}

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DOI: 10.1103/PhysRevD.92.045013

DOI: 10.1103/PhysRevD.92.045013

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Cited by: 11 works

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Works referenced in this record:

##
Two-loop background field calculations for arbitrary background fields

journal, November 1982

- Jack, I.; Osborn, H.
- Nuclear Physics B, Vol. 207, Issue 3

##
Weyl cocycles

journal, July 1986

- Bonora, L.; Pasti, P.; Bregola, M.
- Classical and Quantum Gravity, Vol. 3, Issue 4

##
Is there a c-theorem in four dimensions?

journal, December 1988

- Cardy, John L.
- Physics Letters B, Vol. 215, Issue 4

##
New methods for the renormalisation of composite operator green functions

journal, September 1991

- Shore, G. M.
- Nuclear Physics B, Vol. 362, Issue 1-2

##
Renormalizability of φ3 theory in 6-dimensional curved spacetime

journal, September 1986

- Jack, I.
- Nuclear Physics B, Vol. 274, Issue 1

##
Conformal anomaly of (2,0) tensor multiplet in six dimensions and AdS/CFT correspondence

journal, February 2000

- Bastianelli, Fiorenzo; Frolov, Sergei; Tseytlin, Arkady A.
- Journal of High Energy Physics, Vol. 2000, Issue 02

##
Twenty years of the Weyl anomaly

journal, June 1994

- Duff, M. J.
- Classical and Quantum Gravity, Vol. 11, Issue 6

##
The Einstein Tensor and Its Generalizations

journal, March 1971

- Lovelock, David
- Journal of Mathematical Physics, Vol. 12, Issue 3

##
Renormalization of interacting scalar field theories in curved space-time

journal, November 1982

- Toms, David J.
- Physical Review D, Vol. 26, Issue 10

##
General two-loop beta functions for gauge theories with arbitrary scalar fields

journal, April 1983

- Jack, I.; Osborn, H.
- Journal of Physics A: Mathematical and General, Vol. 16, Issue 5

##
Critical exponents for the percolation problem and the Yang-Lee edge singularity

journal, September 1981

- Bonfirm, O. F. de Alcantara; Kirkham, J. E.; McKane, A. J.
- Journal of Physics A: Mathematical and General, Vol. 14, Issue 9

##
The a-theorem and the asymptotics of 4D quantum field theory

journal, January 2013

- Luty, Markus A.; Polchinski, Joseph; Rattazzi, Riccardo
- Journal of High Energy Physics, Vol. 2013, Issue 1

##
Interacting scalar field theory in general curved space-time

journal, May 1986

- Kodaira, Jiro
- Physical Review D, Vol. 33, Issue 10

##
Dimensional renormalization of scalar field theory in curved space-time

journal, November 1980

- Brown, Lowell S.; Collins, John C.
- Annals of Physics, Vol. 130, Issue 1

##
Evidence for the strongest version of the 4d a-theorem via a-maximization along RG flows

journal, December 2004

- Barnes, Edwin; Intriligator, Ken; Wecht, Brian
- Nuclear Physics B, Vol. 702, Issue 1-2

##
Trace anomalies in dimensional regularization

journal, September 1974

- Capper, D. M.; Duff, M. J.
- Il Nuovo Cimento A, Vol. 23, Issue 1

##
Challenge to the $a$ Theorem in Six Dimensions

journal, December 2014

- Grinstein, Benjamín; Stone, David; Stergiou, Andreas
- Physical Review Letters, Vol. 113, Issue 23

##
The local Callan-Symanzik equation: structure and applications

journal, August 2014

- Baume, Florent; Keren-Zur, Boaz; Rattazzi, Riccardo
- Journal of High Energy Physics, Vol. 2014, Issue 8

##
Φ3 theory in six dimensions and the renormalization group

journal, July 1974

- Macfarlane, A. J.; Woo, G.
- Nuclear Physics B, Vol. 77, Issue 1

##
General background field calculations with fermion fields

journal, January 1985

- Jack, I.; Osborn, H.
- Nuclear Physics B, Vol. 249, Issue 3

##
Heat kernel expansion: user's manual

journal, December 2003

- Vassilevich, D. V.
- Physics Reports, Vol. 388, Issue 5-6

##
On renormalization group flows in four dimensions

journal, December 2011

- Komargodski, Zohar; Schwimmer, Adam
- Journal of High Energy Physics, Vol. 2011, Issue 12

##
Analogs of the c-theorem for four-dimensional renormalisable field theories

journal, October 1990

- Jack, I.; Osborn, H.
- Nuclear Physics B, Vol. 343, Issue 3

##
Functional evaluation of the effective potential

journal, March 1974

- Jackiw, R.
- Physical Review D, Vol. 9, Issue 6

##
On renormalization group flows and the a-theorem in 6d

journal, October 2012

- Elvang, Henriette; Freedman, Daniel Z.; Hung, Ling-Yan
- Journal of High Energy Physics, Vol. 2012, Issue 10

##
Renormalization of the Potts model

journal, September 1976

- Amit, D. J.
- Journal of Physics A: Mathematical and General, Vol. 9, Issue 9

##
Weyl consistency conditions and a local renormalisation group equation for general renormalisable field theories

journal, October 1991

- Osborn, H.
- Nuclear Physics B, Vol. 363, Issue 2-3

##
Background field calculations in curved spacetime

journal, April 1984

- Jack, I.; Osborn, H.
- Nuclear Physics B, Vol. 234, Issue 2

##
Consequences of Weyl consistency conditions

journal, November 2013

- Grinstein, Benjamín; Stergiou, Andreas; Stone, David
- Journal of High Energy Physics, Vol. 2013, Issue 11

##
Structures on the conformal manifold in six dimensional theories

journal, April 2015

- Osborn, Hugh; Stergiou, Andreas
- Journal of High Energy Physics, Vol. 2015, Issue 4

##
Renormalizing ( ${\phi}^{3}$ ${)}_{6}$ theory in curved space-time

journal, May 1986

- Kodaira, J.; Okada, J.
- Physical Review D, Vol. 33, Issue 10

##
Limit cycles and conformal invariance

journal, January 2013

- Fortin, Jean-François; Grinstein, Benjamín; Stergiou, Andreas
- Journal of High Energy Physics, Vol. 2013, Issue 1

##
Critical exponents to order ϵ ^{3} for ϕ ^{3} models of critical phenomena in 6-ϵ dimensions

journal, July 1980

- Bonfim, O. F. de Alcantara; Kirkham, J. E.; McKane, A. J.
- Journal of Physics A: Mathematical and General, Vol. 13, Issue 7

##
Consequences of anomalous ward identities

journal, November 1971

- Wess, J.; Zumino, B.
- Physics Letters B, Vol. 37, Issue 1

##
Vacuum expectation value of the stress tensor in an arbitrary curved background: The covariant point-separation method

journal, November 1976

- Christensen, S. M.
- Physical Review D, Vol. 14, Issue 10