Taylor-Lagrange renormalization scheme: Application to light-front dynamics

Grangé, P.; Mathiot, J.-F.; Mutet, B.; Werner, E.

doi:10.1103/physrevd.80.105012

Cited by 24 publications

(64 citation statements)

References 17 publications

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“…A practical example of construction of the test function is shown in Ref. [5]. Thus any physical amplitude associated to a singular distribution T (X), can be written as…”

Section: ) It Is Denoted By γ (N)mentioning

confidence: 99%

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Non-perturbative renormalization scheme in application to chiral perturbation theory in the nucleon sector

Tsirova¹,

Mathiot²

2012

Proceedings of the XXth International Workshop High Energy Physics and Quantum Field Theory — PoS(QFTHEP2011)

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We propose a general framework to calculate the non-perturbative structure of relativistic bound state systems. The state vector of the bound state is calculated in the covariant formulation of light-front dynamics. In this scheme, the state vector is defined on the light front of general position ω · x = 0, where ω is an arbitrary light-like four vector. This enables a strict control of any violation of rotational invariance. The state vector is then decomposed in Fock components. Our formalism is applied to the description of the nucleon properties at low energy, in chiral perturbation theory. We also present here an example of the nucleon self-energy calculation within the so-called Taylor-Lagrange regularization scheme, and show that it is very adequate in order to treat divergences in this non-perturbative framework.

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“…A practical example of construction of the test function is shown in Ref. [5]. Thus any physical amplitude associated to a singular distribution T (X), can be written as…”

Section: ) It Is Denoted By γ (N)mentioning

confidence: 99%

“…We have to treat divergences only in the limit of large momenta (UV regime). This procedure is described in [5]. Following the proposed scheme, we come to the result…”

Section: Example Of Calculation: the Self-energymentioning

confidence: 99%

Non-perturbative renormalization scheme in application to chiral perturbation theory in the nucleon sector

Tsirova¹,

Mathiot²

2012

Proceedings of the XXth International Workshop High Energy Physics and Quantum Field Theory — PoS(QFTHEP2011)

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“…is shown in the following two figures (taken from [2]) i = 0 (dashed line) and i = 1 (solid line); α = 0.95 and η 2 = 2. Left curve: IR ; right curve: UV .…”

Section: Structure Of Pu Test-functionsmentioning

confidence: 99%

“…However in this case f (k + px) 2 → f (p 2 x 2 ) and the SRTF nature of f will take care of the singularity at x = 0, which is crucial for field renormalization. It is then legitimate to replace the product f (k + px) 2 …”

Section: Tlrs At D =mentioning

confidence: 99%

“…Following the analysis presented and developed in previous LC meetings [1] we have advocated recently [2] the use of the Taylor-Lagrange renormalization scheme (TLRS) in the treatment of the Yukawa model. In particular Mathiot reported in this meeting [3] that this scheme is very well adapted to any calculation in Light Front Dynamics (LFD).…”

Section: Introductionmentioning

confidence: 99%

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Taylor-Lagrange Renormalisation: Self-energy of the gauge boson.

Grangé¹

2010

Proceedings of Light Cone 2010: Relativistic Hadronic and Particle Physics — PoS(LC2010)

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It is shown that no IR/UV divergences occur in the calculations of the electron and gauge-boson self-energies when performed in the Taylor-Lagrange renormalisation scheme. The Lorentz structure of the gauge boson self-energy to one loop is shown to emerge naturally in this scheme, directly at the physical dimension D = 4. Possible consequences on the fate of quadratic divergences in the Standard Model are pointed out. Light Cone 2010: Relativistic Hadronic and Particle Physics

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Nonperturbative Renormalization in Light-Front Dynamics and Applications

et al. 2010

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We present a general framework to calculate the properties of relativistic compound systems from the knowledge of an elementary Hamiltonian. Our framework provides a well-controlled nonperturbative calculational scheme which can be systematically improved. The state vector of a physical system is calculated in light-front dynamics. From the general properties of this form of dynamics, the state vector can be further decomposed in well-defined Fock components. In order to control the convergence of this expansion, we advocate the use of the covariant formulation of lightfront dynamics. In this formulation, the state vector is projected on an arbitrary light-front plane ω•x = 0 defined by a light-like four-vector ω. This enables us to control any violation of rotational invariance due to the truncation of the Fock expansion. We then present a general nonperturbative renormalization scheme in order to avoid field-theoretical divergences which may remain uncancelled due to this truncation. This general Relativistic Description of Two-and Three-Body Systems in Nuclear Physics", ECT*, October 19-23 2009

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Taylor-Lagrange renormalization scheme: Application to light-front dynamics

Cited by 24 publications

References 17 publications

Non-perturbative renormalization scheme in application to chiral perturbation theory in the nucleon sector

Non-perturbative renormalization scheme in application to chiral perturbation theory in the nucleon sector

Taylor-Lagrange Renormalisation: Self-energy of the gauge boson.

Nonperturbative Renormalization in Light-Front Dynamics and Applications

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