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math-ph2004
Generalized local interactions in 1D: solutions of quantum many-body systems describing distinguishable particles
Martin Hallnäs, Edwin Langmann, Cornelius Paufler
As is well-known, there exists a four parameter family of local interactions in 1D. We interpret these parameters as coupling constants of delta-type interactions which include dif…
math-ph2004
Hamiltonian Multivector Fields and Poisson Forms in Multisymplectic Field Theory
Michael Forger, Cornelius Paufler, Hartmann Römer
We present a general classification of Hamiltonian multivector fields and of Poisson forms on the extended multiphase space appearing in the geometric formulation of first order cl…
math-ph2004
Yang-Mills action from minimally coupled bosons on R^4 and on the 4D Moyal plane
Juha Loikkanen, Cornelius Paufler
We consider bosons on Euclidean R^4 that are minimally coupled to an external Yang-Mills field. We compute the logarithmically divergent part of the cut-off regularized quantum eff…