Heat kernel and Weyl anomaly of Schrödinger invariant theory

Pal, Sridip; Grinstein, Benjamín

doi:10.1103/physrevd.96.125001

Title: Heat kernel and Weyl anomaly of Schrödinger invariant theory

Journal Article · Fri Dec 01 00:00:00 EST 2017 · Physical Review D

DOI:https://doi.org/10.1103/physrevd.96.125001· OSTI ID:1541148

Pal, Sridip; Grinstein, Benjamín

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Research Organization:: Univ. of California, San Diego, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: SC0009919

OSTI ID:: 1541148

Journal Information:: Physical Review D, Vol. 96, Issue 12; ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

References (44)

Trace anomalies in dimensional regularization Capper, D. M.; Duff, M. J. Il Nuovo Cimento A, Vol. 23, Issue 1 https://doi.org/10.1007/BF02748300	journal	September 1974
Non-local conformal anomalies Deser, S.; Duff, M. J.; Isham, C. J. Nuclear Physics B, Vol. 111, Issue 1 https://doi.org/10.1016/0550-3213(76)90480-6	journal	August 1976
Stress-tensor trace anomaly in a gravitational metric: Scalar fields Brown, Lowell S. Physical Review D, Vol. 15, Issue 6 https://doi.org/10.1103/PhysRevD.15.1469	journal	March 1977
Stress-tensor conformal anomaly for scalar, spinor, and vector fields Dowker, J. S.; Critchley, Raymond Physical Review D, Vol. 16, Issue 12 https://doi.org/10.1103/PhysRevD.16.3390	journal	December 1977
Zeta function regularization of path integrals in curved spacetime Hawking, S. W. Communications in Mathematical Physics, Vol. 55, Issue 2 https://doi.org/10.1007/BF01626516	journal	June 1977
Trace anomalies and the Hawking effect Christensen, S. M.; Fulling, S. A. Physical Review D, Vol. 15, Issue 8 https://doi.org/10.1103/PhysRevD.15.2088	journal	April 1977
Observations on conformal anomalies Duff, M. J. Nuclear Physics B, Vol. 125, Issue 2 https://doi.org/10.1016/0550-3213(77)90410-2	journal	July 1977
Twenty years of the Weyl anomaly Duff, M. J. Classical and Quantum Gravity, Vol. 11, Issue 6 https://doi.org/10.1088/0264-9381/11/6/004	journal	June 1994
Derivation of a four dimensional c-theorem for renormaliseable quantum field theories Osborn, H. Physics Letters B, Vol. 222, Issue 1 https://doi.org/10.1016/0370-2693(89)90729-6	journal	May 1989
Analogs of the c-theorem for four-dimensional renormalisable field theories Jack, I.; Osborn, H. Nuclear Physics B, Vol. 343, Issue 3 https://doi.org/10.1016/0550-3213(90)90584-Z	journal	October 1990
On renormalization group flows in four dimensions Komargodski, Zohar; Schwimmer, Adam Journal of High Energy Physics, Vol. 2011, Issue 12 https://doi.org/10.1007/JHEP12(2011)099	journal	December 2011
The constraints of conformal symmetry on RG flows Komargodski, Zohar Journal of High Energy Physics, Vol. 2012, Issue 7 https://doi.org/10.1007/JHEP07(2012)069	journal	July 2012
Consequences of Weyl consistency conditions Grinstein, Benjamín; Stergiou, Andreas; Stone, David Journal of High Energy Physics, Vol. 2013, Issue 11 https://doi.org/10.1007/JHEP11(2013)195	journal	November 2013
Challenge to the $a$ Theorem in Six Dimensions Grinstein, Benjamín; Stone, David; Stergiou, Andreas Physical Review Letters, Vol. 113, Issue 23 https://doi.org/10.1103/PhysRevLett.113.231602	journal	December 2014
Two-loop renormalization of multiflavor $ϕ^{3}$ theory in six dimensions and the trace anomaly Grinstein, Benjamín; Stergiou, Andreas; Stone, David Physical Review D, Vol. 92, Issue 4 https://doi.org/10.1103/PhysRevD.92.045013	journal	August 2015
Constraints on perturbative RG flows in six dimensions Stergiou, Andreas; Stone, David; Vitale, Lorenzo G. Journal of High Energy Physics, Vol. 2016, Issue 8 https://doi.org/10.1007/JHEP08(2016)010	journal	August 2016
Observation of Resonance Condensation of Fermionic Atom Pairs Regal, C. A.; Greiner, M.; Jin, D. S. Physical Review Letters, Vol. 92, Issue 4 https://doi.org/10.1103/PhysRevLett.92.040403	journal	January 2004
Condensation of Pairs of Fermionic Atoms near a Feshbach Resonance Zwierlein, M. W.; Stan, C. A.; Schunck, C. H. Physical Review Letters, Vol. 92, Issue 12 https://doi.org/10.1103/PhysRevLett.92.120403	journal	March 2004
Nonrelativistic conformal field theories Nishida, Yusuke; Son, Dam T. Physical Review D, Vol. 76, Issue 8 https://doi.org/10.1103/PhysRevD.76.086004	journal	October 2007
Resonant Magnetic Field Control of Elastic Scattering in Cold ${}^{85}R b$ Roberts, J. L.; Claussen, N. R.; Burke, James P. Physical Review Letters, Vol. 81, Issue 23 https://doi.org/10.1103/PhysRevLett.81.5109	journal	December 1998
High precision Feshbach spectroscopy of ultracold cesium collisions Chin, C.; Vuletić, V.; Kerman, A. J. Nuclear Physics A, Vol. 684, Issue 1-4 https://doi.org/10.1016/S0375-9474(01)00461-4	journal	March 2001
A new expansion for nucleon-nucleon interactions Kaplan, David B.; Savage, Martin J.; Wise, Mark B. Physics Letters B, Vol. 424, Issue 3-4 https://doi.org/10.1016/S0370-2693(98)00210-X	journal	April 1998
Two-nucleon systems from effective field theory Kaplan, David B.; Savage, Martin J.; Wise, Mark B. Nuclear Physics B, Vol. 534, Issue 1-2 https://doi.org/10.1016/S0550-3213(98)00440-4	journal	November 1998
Gravity Duals for Nonrelativistic Conformal Field Theories Balasubramanian, Koushik; McGreevy, John Physical Review Letters, Vol. 101, Issue 6 https://doi.org/10.1103/PhysRevLett.101.061601	journal	August 2008
Spacetime symmetries of the quantum Hall effect Geracie, Michael; Son, Dam Thanh; Wu, Chaolun Physical Review D, Vol. 91, Issue 4 https://doi.org/10.1103/PhysRevD.91.045030	journal	February 2015
Anisotropic Weyl invariance Pérez-Nadal, Guillem The European Physical Journal C, Vol. 77, Issue 7 https://doi.org/10.1140/epjc/s10052-017-5013-4	journal	July 2017
Anomalous breaking of anisotropic scaling symmetry in the quantum lifshitz model Baggio, Marco; de Boer, Jan; Holsheimer, Kristian Journal of High Energy Physics, Vol. 2012, Issue 7 https://doi.org/10.1007/JHEP07(2012)099	journal	July 2012
Lifshitz scale anomalies Arav, Igal; Chapman, Shira; Oz, Yaron Journal of High Energy Physics, Vol. 2015, Issue 2 https://doi.org/10.1007/JHEP02(2015)078	journal	February 2015
Non-relativistic scale anomalies Arav, Igal; Chapman, Shira; Oz, Yaron Journal of High Energy Physics, Vol. 2016, Issue 6 https://doi.org/10.1007/JHEP06(2016)158	journal	June 2016
Lifshitz anomalies, Ward identities and split dimensional regularization Arav, Igal; Oz, Yaron; Raviv-Moshe, Avia Journal of High Energy Physics, Vol. 2017, Issue 3 https://doi.org/10.1007/JHEP03(2017)088	journal	March 2017
Heat kernel methods for Lifshitz theories Barvinsky, Andrei O.; Blas, Diego; Herrero-Valea, Mario Journal of High Energy Physics, Vol. 2017, Issue 6 https://doi.org/10.1007/JHEP06(2017)063	journal	June 2017
On Newton-Cartan local renormalization group and anomalies Auzzi, Roberto; Baiguera, Stefano; Filippini, Francesco Journal of High Energy Physics, Vol. 2016, Issue 11 https://doi.org/10.1007/JHEP11(2016)163	journal	November 2016
Weyl consistency conditions in non-relativistic quantum field theory Pal, Sridip; Grinstein, Benjamín Journal of High Energy Physics, Vol. 2016, Issue 12 https://doi.org/10.1007/JHEP12(2016)012	journal	December 2016
Background field calculations in curved spacetime Jack, I.; Osborn, H. Nuclear Physics B, Vol. 234, Issue 2 https://doi.org/10.1016/0550-3213(84)90067-1	journal	April 1984
Renormalizability of φ3 theory in 6-dimensional curved spacetime Jack, I. Nuclear Physics B, Vol. 274, Issue 1 https://doi.org/10.1016/0550-3213(86)90622-X	journal	September 1986
Heat kernel expansion: user's manual Vassilevich, D. V. Physics Reports, Vol. 388, Issue 5-6 https://doi.org/10.1016/j.physrep.2003.09.002	journal	December 2003
The spectral geometry of the higher order Laplacian Gilkey, Peter B. Duke Mathematical Journal, Vol. 47, Issue 3 https://doi.org/10.1215/S0012-7094-80-04731-6	journal	September 1980
Comments on string theory backgrounds with non-relativistic conformal symmetry Maldacena, Juan; Martelli, Dario; Tachikawa, Yuji Journal of High Energy Physics, Vol. 2008, Issue 10 https://doi.org/10.1088/1126-6708/2008/10/072	journal	October 2008
Hot spacetimes for cold atoms Adams, Allan; Balasubramanian, Koushik; McGreevy, John Journal of High Energy Physics, Vol. 2008, Issue 11 https://doi.org/10.1088/1126-6708/2008/11/059	journal	November 2008
Fermion path integrals and topological phases Witten, Edward Reviews of Modern Physics, Vol. 88, Issue 3 https://doi.org/10.1103/RevModPhys.88.035001	journal	July 2016
Heat kernel for Newton-Cartan trace anomalies Auzzi, Roberto; Nardelli, Giuseppe Journal of High Energy Physics, Vol. 2016, Issue 7 https://doi.org/10.1007/JHEP07(2016)047	journal	July 2016
OPE convergence in non-relativistic conformal field theories Goldberger, Walter D.; Khandker, Zuhair U.; Prabhu, Siddharth Journal of High Energy Physics, Vol. 2015, Issue 12 https://doi.org/10.1007/JHEP12(2015)048	journal	December 2015
Entanglement entropy in non-relativistic field theories Solodukhin, Sergey N. Journal of High Energy Physics, Vol. 2010, Issue 4 https://doi.org/10.1007/JHEP04(2010)101	journal	April 2010
Riemann normal coordinate expansions using Cadabra Brewin, Leo Classical and Quantum Gravity, Vol. 26, Issue 17 https://doi.org/10.1088/0264-9381/26/17/175017	journal	August 2009

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