Overview of light-front zero modes and dynamical zero-mode fields

by Prof. Lubomir Martinovic (Inst. of Physics SAS, Bratislava and IMP Huizhou)

Friday Oct 24, 2025, 3:00 PM → 5:00 PM Asia/Shanghai

1A504

Abstract: 
A brief review of the subject of the light-front (LF) zero modes (ZM) will be given, starting from the introduction of the constrained zero mode by Maskawa and Yamawaki in 1977. The main focus will be placed on the dynamical zero modes, that is independent components mostly of the gauge fields quantized in terms of the LF variables, as pioneered mainly by Kalloniatis, Pauli and Robertson three decades ago. QED(3+1) and pure-glue (1+1)-dimensional QCD will be discussed briefly to illustrate the quantum-mechanical approach to the description of these field modes and their role in the non-trivial LF vacuum structure. Then a novel approach will be proposed, starting from the massless LF scalar field in two and four dimensions, quantized in a finite volume. Existence of zero-mode $\it{fields}$ is required by the field equations and by consistency of certain two-point functions. States built from the ZM Fock  operators have vanishing LF momentum and finite LF energy, representing LF vacua. This is in contrast to previous treatments in which dynamical ZMs are single field modes with infinite or ill-defined energy. Construction of degenerate LF vacuum states in LF models with fermions will be presented and its relation to symmetry breaking discussed. I will conlude the talk by some ideas related to the application of the proposed scheme to LF gauge fields.

 

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ZOOM: 927 2705 9431
PW: 801352
https://zoom.us/j/92727059431?pwd=i1fMnmMuSoNfpXeoiZl4N6j6ivY3wb.1