Consistent relativistic chiral kinetic theory: A derivation from on-shell effective field theory
Abstract
We formulate the on-shell effective field theory (OSEFT) in an arbitrary frame and study its reparametrization invariance, which ensures that it respects Lorentz symmetry. In this formulation, the OSEFT Lagrangian looks formally equivalent to the sum over lightlike velocities of soft collinear effective field theory in the Abelian limit, but differences remain in the scale of the gauge fields involved in the two effective theories. We then use the OSEFT Lagrangian expanded in inverse powers of the on-shell energy to derive how the classical transport equations for charged massless fermions are corrected by quantum effects, as derived from quantum field theory. We provide a formulation in a full covariant way and explain how the consistent form of the chiral anomaly equation can be recovered from our results. We also show how the side-jump transformation of the distribution function associated with massless charged fermions can be derived from the reparametrization invariance transformation rules of the OSEFT quantum fields. Finally, we discuss the differences in our results with respect to others found in the literature.
- Authors:
- Publication Date:
- Research Org.:
- Stony Brook Univ., NY (United States); State Univ. of New York (SUNY), Albany, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1477538
- Alternate Identifier(s):
- OSTI ID: 1610121
- Grant/Contract Number:
- FG02-88ER40388
- Resource Type:
- Published Article
- Journal Name:
- Physical Review. D.
- Additional Journal Information:
- Journal Name: Physical Review. D. Journal Volume: 98 Journal Issue: 7; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; astronomy & astrophysics; physics; effective field theory; finite temperature field theory
Citation Formats
Carignano, Stefano, Manuel, Cristina, and Torres-Rincon, Juan M. Consistent relativistic chiral kinetic theory: A derivation from on-shell effective field theory. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.98.076005.
Carignano, Stefano, Manuel, Cristina, & Torres-Rincon, Juan M. Consistent relativistic chiral kinetic theory: A derivation from on-shell effective field theory. United States. https://doi.org/10.1103/PhysRevD.98.076005
Carignano, Stefano, Manuel, Cristina, and Torres-Rincon, Juan M. Mon .
"Consistent relativistic chiral kinetic theory: A derivation from on-shell effective field theory". United States. https://doi.org/10.1103/PhysRevD.98.076005.
@article{osti_1477538,
title = {Consistent relativistic chiral kinetic theory: A derivation from on-shell effective field theory},
author = {Carignano, Stefano and Manuel, Cristina and Torres-Rincon, Juan M.},
abstractNote = {We formulate the on-shell effective field theory (OSEFT) in an arbitrary frame and study its reparametrization invariance, which ensures that it respects Lorentz symmetry. In this formulation, the OSEFT Lagrangian looks formally equivalent to the sum over lightlike velocities of soft collinear effective field theory in the Abelian limit, but differences remain in the scale of the gauge fields involved in the two effective theories. We then use the OSEFT Lagrangian expanded in inverse powers of the on-shell energy to derive how the classical transport equations for charged massless fermions are corrected by quantum effects, as derived from quantum field theory. We provide a formulation in a full covariant way and explain how the consistent form of the chiral anomaly equation can be recovered from our results. We also show how the side-jump transformation of the distribution function associated with massless charged fermions can be derived from the reparametrization invariance transformation rules of the OSEFT quantum fields. Finally, we discuss the differences in our results with respect to others found in the literature.},
doi = {10.1103/PhysRevD.98.076005},
journal = {Physical Review. D.},
number = 7,
volume = 98,
place = {United States},
year = {Mon Oct 08 00:00:00 EDT 2018},
month = {Mon Oct 08 00:00:00 EDT 2018}
}
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https://doi.org/10.1103/PhysRevD.98.076005
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Cited by: 44 works
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Figures / Tables:
TABLE I: Transformation rules in OSEFT under RI transformations of types I, II, and III.
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Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.