ELFT HÍRADÓ

[Biro Tamas <biro.tamas AT wigner.mta.hu>]

Kedves Kollégák! Dear Colleagues!


The next Wigner Colloquium will be held as follows:

Title:
Sine-Gordon field theory vs relativistic Calogero-Moser N-particle 
systems: an overview

Speaker:
Prof. Simon Ruijsenaars (University Leeds UK)

Date and time:
Tuesday, 28 March 2017 from 14:00 to 15:00 (Europe/Budapest)

Location:
KFKI campus ( Bldg.1. Meeting Room )
Budapest, Konkoly-Thege Miklos 29-33


Abstract:

The sine-Gordon equation φ_xx −φ_tt = sin(φ), describes an integrable 2D 
relativistic field theory, both at the classical and at the quantum 
level. The classical soliton, antisoliton and breather solutions turn 
into solitonic fermions, antifermions and their bound states at the 
quantum level, with particle number preservation under scattering and 
factorized amplitudes governed by the Yang-Baxter equations. We survey 
the relation between the sine-Gordon model and (a special case of) the 
hyperbolic relativistic integrable N-particle systems of A(N−1) 
Calogero-Moser type. In particular, we present compelling evidence that 
the intimate link of the classical version of the latter and the 
classical particle-like sine-Gordon solutions turns into a physical 
equivalence on the quantum level, in the sense that the same scattering 
amplitudes and bound state energies arise in the quantum field-theoretic 
and N-particle models.


The organizers:

    Tamás Biró, László Fehér.



Organised by    Laszlo Fehér, Tamás Biró