Compton scattering in the light-cone Tamm-Dancoff approximation

Mustaki, D.; Pinsky, Stephen S.

doi:10.1103/physrevd.45.3775

Cited by 7 publications

(10 citation statements)

References 9 publications

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“…Substituting the decompositions of Σ(p) and Σ f c (p) in terms of A(p 2 ), B(p 2 ), C(p 2 ), and C f c , as defined by the r. h. s. of Eqs. (15) and (16), into Eq. (14) we can write…”

Section: This Equation Readsmentioning

confidence: 99%

“…From this equation follows that the quantity Σ F µν differs from the on-mass-shell self-energy for the scalar boson case, Σ, defined by Eqs. (52) and (15), by the factor −g µν and by that the gauge boson mass is zero. Hence, the coefficients A 1 , B 1 , and C 1 in Eq.…”

Section: Gauge Boson In the Feynman Gaugementioning

confidence: 99%

“…At the same time they are too simple because of, firstly, their super-renormalizability, and, secondly, the absense of contact interactions appearing for non-zero spin particles in LFD and CLFD. The next step therefore is an investigation of fermionic composite states [9,[13][14][15][16]. Two important properties have emerged from these calculations.…”

Section: Introductionmentioning

confidence: 99%

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Renormalized nonperturbative fermion model in covariant light-front dynamics

2004

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Within the framework of the covariant formulation of Light-Front Dynamics, we develop a nonperturbative renormalization scheme in the fermion model supposing that the composite fermion is a superposition of the "bare" fermion and a fermion+boson state. We first assume the constituent boson to be spinless. Then we address the case of gauge bosons in the Feynman and in the Light-Cone gauges. For all these cases the fermion state vector and the necessary renormalization counterterms are calculated analytically. It turns out that in Light-Front Dynamics, to restore the rotational invariance, an extra counterterm is needed, having no any analogue in Feynman approach. For gauge bosons the results obtained in the two gauges are compared with each other. In general, the number of spin components of the two-body (fermion+boson) wave function depends on the gauge. But due to the two-body Fock space truncation, only one non-zero component survives for each gauge. And moreover, the whole solutions for the state vector, found for the Feynman and Light-Cone gauges, are the same (except for the normalization factor). The counterterms are however different. *

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“…Substituting the decompositions of Σ(p) and Σ f c (p) in terms of A(p 2 ), B(p 2 ), C(p 2 ), and C f c , as defined by the r. h. s. of Eqs. (15) and (16), into Eq. (14) we can write…”

Section: This Equation Readsmentioning

confidence: 99%

Section: Gauge Boson In the Feynman Gaugementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Renormalized nonperturbative fermion model in covariant light-front dynamics

2004

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“…The Tamm-Dancoff truncation results in logarithmically divergent four-point graphs. To deal with these will probably require use of scattering processes, such as Compton scattering [20], to obtain renormalization conditions. Verification of the removal of all logarithms and restoration of symmetries can then be undertaken.…”

Section: A Heavy-fermion Modelmentioning

confidence: 99%

Nonperturbative Renormalization in Light-Cone Quantization

Hiller

1997

High-Energy Physics and Cosmology

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Two approaches to nonperturbative renormalization are discussed for theories quantized on the light cone. One is tailored specifically to a calculation of the dressed-electron state in quantum electrodynamics, where an invariantmass cutoff is used as a regulator and a Tamm-Dancoff truncation is made to include no more than two photons. The other approach is based on PauliVillars regulators and is applied to Yukawa theory and a related soluble model. In both cases discretized light-cone quantization is used to obtain a finite matrix problem that can be solved nonperturbatively.

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“…We propose to meet Feynman's challenge by using discretized light-cone [4] quantization [5] (DLCQ) [6]. By constructing the dressed electron state in Fock space we can in principle compute physical properties of the electron exactly [7,8]. In practice, various truncations are required, but the approach remains nonperturbative.…”

Section: Introductionmentioning

confidence: 99%

Nonperturbative renormalization and the electron’s anomalous moment in large-α QED

Hiller

Brodsky

1998

Phys. Rev. D

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We study the physical electron in quantum electrodynamics expanded on the light-cone Fock space in order to address two problems: (1) the physics of the electron's anomalous magnetic moment a e in nonperturbative QED, and (2) the practical problems of ultraviolet regularization and renormalization in truncated nonperturbative light-cone Hamiltonian theory. We present results for a e computed in a light-cone gauge Fock space truncated to include one bare electron and at most two photons; i.e., up to two photons in flight. The calculational scheme uses an invariant mass cutoff, discretized light-cone quantization (DLCQ), a Tamm-Dancoff truncation of the Fock space, and a photon mass regulator. We introduce new weighting methods which greatly improve convergence to the continuum within DLCQ. Nonperturbative renormalization of the coupling and electron mass are carried out, and a limit on the magnitude of the effective physical coupling strength is computed. A large renormalized coupling strength α R = 0.1 is then used to make the nonperturbative effects in the electron anomalous moment from the one-electron, two-photon Fock state sector numerically detectable.11.15. Tk,11.10.Gh,12.20.Ds,02.60.Nm

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Compton scattering in the light-cone Tamm-Dancoff approximation

Cited by 7 publications

References 9 publications

Renormalized nonperturbative fermion model in covariant light-front dynamics

Renormalized nonperturbative fermion model in covariant light-front dynamics

Nonperturbative Renormalization in Light-Cone Quantization

Nonperturbative renormalization and the electron’s anomalous moment in large-α QED

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