Electromagnetic current correlations in reduced quantum electrodynamics

Teber, S.

doi:10.1103/PhysRevD.86.025005

Electromagnetic current correlations in reduced quantum electrodynamics

S. Teber
(
- Paris, LPTHE
)

Apr, 2012

8 pages

Published in:

Phys.Rev.D 86 (2012) 025005

e-Print:

1204.5664 [hep-ph]

DOI:

10.1103/PhysRevD.86.025005

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Abstract: (arXiv)

We consider a theory of massless reduced quantum electrodynamics (RQED

_{d_\gamma,d_e}

), e.g., a quantum field theory where the U(1) gauge field lives in

d_\gamma

-spacetime dimensions while the fermionic field lives in a reduced spacetime of

d_e

dimensions (

d_e \leqslant d_\gamma

). In the case where

d_\gamma=4

such RQEDs are renormalizable while they are super-renormalizable for

d_\gamma <4

. The 2-loop electromagnetic current correlation function is computed exactly for a general RQED

_{d_\gamma,d_e}

. Focusing on RQED

_{4,3}

, the corresponding

\beta

-function is shown to vanish which implies the scale invariance of the theory. Interaction correction to the 1-loop vacuum polarization,

\Pi_1

, of RQED

_{4,3}

is found to be: \Pi = \Pi_1 (1 + 0.056 \al) where \al is the fine structure constant. The scaling dimension of the fermion field is computed at 1-loop and is shown to be anomalous for RQED

_{4,3}

.

Note:

(v2) Accepted for publication in PRD. Conclusion and references added (some / referee's comments). No change in results. 8 pages, 3 figures. (v1) LaTeX file with feynMF package. 8 pages, no figure

11.10.Lm
12.20.Ds
11.10.Gh
11.15.Bt
current: electromagnetic
scaling: dimension
current: correlation function
gauge field theory: U(1)
current: correlation
fundamental constant: fine structure

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Figures(1)

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