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Description
A careful study of the two-point functions in light-front (LF) field theory is performed at equal LF time $x^+=y^+$ and at coinciding space-time points $x=y$. Using a regularized field expansion, we demonstrate that recent claims in literature about failure of the Hamiltonian "on-shell" form of the LF theory are not justified. It is actually the Feynman treatment which, without proper regularization, leads to mathematically ill defined amplitudes (tadpole diagram), while the LF Fock methods yield consistent results. In the second part of my talk, a very simple exactly solvable model with two massive scalar fields will be suggested as a suitable example for comparison of the non-perturbative structure of the LF and "equal-time" forms of field theory. Diagonalization of the corresponding Hamiltonians and construction of their physical vacuum states can help to clarify the relation between the two forms of QFT.
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zoom ID: 969 7208 1483
PW: 626102
https://zoom.us/j/96972081483?pwd=0La102wRbXSrTshxed9eaC7ve1M5QL.1
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recording:
https://zoom.us/rec/share/evAb924g7Pnx53sLS7ql_JFl5qw0SqyjbzX3L5qWrW9bJklRDLExmLpCfLifuG32.18LTE125OWDyKStv
PW: Q..H8eQ9
