Fetching the paper…

Reading the bibliography…

Field Theory at a Lifshitz Point · Around

2009

Field Theory at a Lifshitz Point

Chen, Bin, Huang, Qing-Guo

Original
PDF
Post on X

Understand

We construct the general renormalizable actions for the scalar field and the gauge field at a Lifshitz point characterized by the dynamical critical exponent $z$.

The Lorentz invariance is broken down in the UV region, but is recovered in the IR limit.
Even though the theories are UV complete, the speed of light is related to the momentum by $z(k/M)^{z-1}$ which can go to infinity in the UV limit for $z\geq 2$.
Since the Lorentz invariance is broken down, the dispersion relation is modified and the time delays in Gamma-Ray bursts can be easily explained.

Built on

E.M. Lifshitz, “On the Theory of Second-Order Phase Transitions I & II”, Zh. Eksp. Teor. Fiz 11
1941
Earlier work this paper cites.
P. R. S. Carvalho and M. M. Leite, “Callan-Symanzik-Lifshitz approach to generic competing systems,” arXiv:0902.1972 [hep-th]
Original
1972
Earlier work this paper cites.
J. R. Ellis, N. E. Mavromatos, D. V. Nanopoulos and A. S. Sakharov, “Quantum-gravity analysis of gamma-ray bursts using wavelets,” Astron. Astrophys. 402
2003
Earlier work this paper cites.
R.H. Mornreich, M. Luban and S. Shtrikman, “Critical Behavior at the Onset of k → \vec{k} -space Instability on the λ \lambda Line”, Phys. Rev. Lett. 35
2004
Earlier work this paper cites.

Similar

M. Freedman, C. Nayak and K. Shtengel, “A Line of Critical Points in 2 + 1 2+1 Dimensions: Quantum Critical Loop Gases and Non-Abelian Gauge Theory”, Phys. Rev. Lett. 94
2005
Cited alongside, same era.
S. Kachru, X. Liu and M. Mulligan, “Gravity Duals of Lifshitz-like Fixed Points”, Phy. Rev. D 78
2008
Cited alongside, same era.
J. R. Ellis, N. E. Mavromatos, D. V. Nanopoulos, A. S. Sakharov and E. K. G. Sarkisyan, “Robust Limits on Lorentz Violation from Gamma-Ray Bursts,” Astropart. Phys. 25
2008
Cited alongside, same era.
U. Jacob and T. Piran, “Lorentz-violation-induced arrival delays of cosmological particles,” JCAP 0801
Original
2008
Cited alongside, same era.
H. Lu, J. Mei and C. N. Pope, “Solutions to Horava Gravity,” arXiv:0904.1595 [hep-th]
Original
Cited in the paper.
H. Nastase, “On IR solutions in Horava gravity theories,” arXiv:0904.3604 [hep-th]
Original
Cited in the paper.
E. O. Colgain and H. Yavartanoo, “Dyonic solution of Horava-Lifshitz Gravity,” arXiv:0904.4357 [hep-th]
Original
Cited in the paper.
T. Takahashi and J. Soda, “Chiral Primordial Gravitational Waves from a Lifshitz Point,” arXiv:0904.0554 [hep-th]
Original
Cited in the paper.
G. Calcagni, “Cosmology of the Lifshitz universe,” arXiv:0904.0829 [hep-th]
Original
Cited in the paper.
E. Kiritsis and G. Kofinas, “Horava-Lifshitz Cosmology,” arXiv:0904.1334 [hep-th]
Original
Cited in the paper.
S. Mukohyama, “Scale-invariant cosmological perturbations from Horava-Lifshitz gravity without inflation,” arXiv:0904.2190 [hep-th]
Original
Cited in the paper.
R. Brandenberger, “Matter Bounce in Horava-Lifshitz Cosmology,” arXiv:0904.2835 [hep-th]
Original
Cited in the paper.

Then

P. Horava, “Quantum Gravity at a Lifshitz Point,” Phys. Rev. D 79
Original
2009
Closest in time.
P. Horava, “Membranes at Quantum Criticality,” JHEP 0903
Original
2009
Closest in time.
A. A. Abdo et al. [The Fermi LAT and Fermi GBM Collaborations], DOI10.1126/science.1169101 (Science Express Research Articles), published online 19 February 2009
2009
Closest in time.
E. Komatsu et al
Original
2009
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…