2012
DOI: 10.1103/physrevd.86.025005
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Electromagnetic current correlations in reduced quantum electrodynamics

Abstract: 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… Show more

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Cited by 84 publications
(167 citation statements)
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References 29 publications
(47 reference statements)
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“…11 In the context of boundary conformal field theories (bCFT) there also exist examples. One such example, the mixed dimensional QED discussed in [29,30], is even believed to admit a (perturbative-stable) conformal manifold. We thank Chris Herzog for making us aware of this possibility.…”
Section: Discussionmentioning
confidence: 99%
“…11 In the context of boundary conformal field theories (bCFT) there also exist examples. One such example, the mixed dimensional QED discussed in [29,30], is even believed to admit a (perturbative-stable) conformal manifold. We thank Chris Herzog for making us aware of this possibility.…”
Section: Discussionmentioning
confidence: 99%
“…The multi-loop structure of the latter has been recently explored in Refs. [31,32]. With the help of the ansatz (9), one can then see that the r.h.s.…”
Section: Leading Ordermentioning
confidence: 99%
“…where the gauge dependence comes from the fact that we work in a non-local gauge andΠ arises from the twoloop polarization operator in dimension D = 3 [30,40,41] which may be graphically represented as:…”
Section: Next-to-leading Ordermentioning
confidence: 99%
“…One difference is that the gauge fixing parameter in reduced QED is twice less than the one in QED 3 . Such a difference can be taken into account with the help of our present results for QED 3 together with the multi-loop results obtained in [30,31]. The case of reduced QED, and its relation with dynamical gap generation in graphene which is the subject of active ongoing research, see, e.g., the reviews [32,33], will be considered in a separate paper [34].…”
Section: Introductionmentioning
confidence: 99%