Calculation of one-loop instanton determinants using propagators with space-time dependent mass

Lee, Choonkyu; Lee, Hae Won; Pac, Pong Youl

doi:10.1016/0550-3213(82)90442-4

Cited by 8 publications

(5 citation statements)

References 24 publications

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“…The two-loop the effective action is not simply a log determinant, so the situation is more complicated and we do not expect a SUSY relation like (6.18) to hold. Nevertheless, the quantum mechanical SUSY of the Dirac operator relates the spinor propagator to the scalar propagator via simple helicity projections [155],…”

Section: Self-duality and Quantum Mechanical Supersymmetrymentioning

confidence: 99%

Heisenberg–euler Effective Lagrangians: Basics and Extensions

Dunne

2005

From Fields to Strings: Circumnavigating Theoretical Physics

276

390

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I present a pedagogical review of Heisenberg-Euler effective Lagrangians, beginning with the original work of Heisenberg and Euler, and Weisskopf, for the one loop effective action of quantum electrodynamics in a constant electromagnetic background field, and then summarizing some of the important applications and generalizations to inhomogeneous background fields, nonabelian backgrounds, and higher loop effective Lagrangians.Dedicated to the memory of Ian Kogan, a great physicist and friend, whose enthusiasm for life and science is sorely missed.

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Section: Self-duality and Quantum Mechanical Supersymmetrymentioning

confidence: 99%

Heisenberg–euler Effective Lagrangians: Basics and Extensions

Dunne

2005

From Fields to Strings: Circumnavigating Theoretical Physics

276

390

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“…One motivation for our work is to prepare for future studies of higher-loop calculations in QCD for quarks in a self-dual instanton background. A great deal is known about this at one-loop [25,32,33,35], but not at the two loop level. Many features of our QED analysis generalize to the instanton case because it was primarily the self-duality of the background, rather than its spacetime independence, which was most important.…”

Section: Discussionmentioning

confidence: 99%

“…A great deal is known about this at one-loop [25,32,33,35], but not at the two loop level. Many features of our QED analysis generalize to the instanton case because it was primarily the self-duality of the background, rather than its spacetime independence, which was most important.…”

Section: Discussionmentioning

confidence: 99%

“…where P L = 1 2 (1 + γ 5 ) is the projector onto positive helicity states. It follows that the spinor propagator S can be expressed in terms of the scalar propagator G [31,32,33],…”

Section: One-loop Euler-heisenberg Lagrangian For a Self-dual Fieldmentioning

confidence: 99%

“…It follows that the spinor propagator S can be expressed in terms of the scalar propagator G [31,32,33],…”

Section: B One-loop Spinor Qed In a Self-dual Backgroundmentioning

confidence: 99%

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Zero modes, beta functions and IR/UV interplay in higher-loop QED

Dunne

Gies

Schubert

2002

J. High Energy Phys.

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We analyze the relation between the short-distance behavior of quantum field theory and the strong-field limit of the background field formalism, for QED effective Lagrangians in self-dual backgrounds, at both one and two loop. The self-duality of the background leads to zero modes in the case of spinor QED, and these zero modes must be taken into account before comparing the perturbative β function coefficients and the coefficients of the strong-field limit of the effective Lagrangian. At one-loop this is familiar from instanton physics, but we find that at two-loop the role of the zero modes, and the interplay between IR and UV effects in the renormalization, is quite different. Our analysis is motivated in part by the remarkable simplicity of the two-loop QED effective Lagrangians for a self-dual constant background, and we also present here a new independent derivation of these two-loop results.

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