Light-Cone 2023: Hadrons and Symmetries

Light-front subtleties: zero modes, operator solutions, correlation functions

18 sept. 2023, 11:30

30m

Rio de Janeiro, Brazil

Lecture Plenary

Orateur

Lubomir Martinovic (Institute of Physics SAS, Bratislava, Slovakia)

Description

A novel approach to the dynamical light-front (LF) zero modes is presented. It is based on quantization of the two-dimensional LF gauge field $A^{\mu }(x)$ in the covariant (Feynman) gauge. The $A^{\pm }$ components are obtained as a massless limit of the massive vector field and contain an infinite set of dynamical zero modes with finite LF energy. We argue that the same zero modes are present in realistic gauge theories like LF QED(3+1). Its covariant-gauge formulation is briefly described and a few general comments concerning the LF zero modes are presented. Next, operator solution and axial anomaly of the LF Thirring-Wess and Schwinger models is discussed. Finally, we show that contradictions related to the $x^{+}=0$ restriction of the two-point and Pauli-Jordan functions are removed if the scalar field contains regularization terms in the plane-wave factors. The value of the two-point function at coinciding points is then also correctly obtained in the Hamiltonian approach.

Documents de présentation

martinovic_rio23.pdf