Fetching the paper…

Reading the bibliography…

The hbar Expansion in Quantum Field Theory · Around

2010

The hbar Expansion in Quantum Field Theory

Brodsky, Stanley J., Hoyer, Paul

Original
PDF
Post on X

Understand

We show how expansions in powers of Planck's constant hbar = h/2\pi can give new insights into perturbative and nonperturbative properties of quantum field theories.

Since hbar is a fundamental parameter, exact Lorentz invariance and gauge invariance are maintained at each order of the expansion.
The physics of the hbar expansion depends on the scheme; i.e., different expansions are obtained depending on which quantities (momenta, couplings and masses) are assumed to be independent of hbar.
We show that if the coupling and mass parameters appearing in the Lagrangian density are taken to be independent of hbar, then each loop in perturbation theory brings a factor of hbar.

Built on

Max Planck, Ann. Phys. (Leipzig) 309
1901
Earlier work this paper cites.
G. Breit, Phys. Rev. 34
1929
Earlier work this paper cites.
G. E. Volovik, JETP Lett. 90
Original
1965
Earlier work this paper cites.
J. J. Sakurai, Advanced Quantum Mechanics
1967
Earlier work this paper cites.
J. Iliopoulos, C. Itzykson and A. Martin, Rev. Mod. Phys. 47
1980
Earlier work this paper cites.

Similar

D. R. Yennie, Brandeis Summer Institute Lectures on Strong and Electromagnetic Interactions
1983
Cited alongside, same era.
P. Hoyer, Phys. Lett. B 172
1985
Cited alongside, same era.
J. J. Sakurai, Modern Quantum Mechanics
1994
Cited alongside, same era.
E. Shuryak, Prog. Part. Nucl. Phys. 53
2004
Cited alongside, same era.
J. F. Donoghue, B. R. Holstein, B. Garbrecht and T. Konstandin, Phys. Lett. B 529
2004
Cited alongside, same era.

Then

P. Kovtun, D. T. Son, A. O. Starinets, Phys. Rev. Lett. 94
2005
Later among the works it cites.
A. Karch, E. Katz, D. T. Son et al
2006
Later among the works it cites.
A. M. Cooper-Sarkar, 38th International Symposium On Multiparticle Dynamics ISMD08, Hamburg, Germany, 2008
Original
2009
Later among the works it cites.
G. F. de Teramond, S. J. Brodsky, Phys. Rev. Lett. 102
Original
2009
Later among the works it cites.
P. Hoyer, arXiv:0909.3045 [hep-ph]; P. Hoyer, PoS EPS-HEP2009
Original
2010
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…