https://doi.org/10.1140/epjc/s10052-015-3412-y
Regular Article - Theoretical Physics
Hamiltonian analysis of interacting fluids
1
S. N. Bose National Centre for Basic Sciences, JD Block, Sector III, Salt Lake, Kolkata, 700098, India
2
Indian Statistical Institute, 203, Barrackpore Trunk Road, Kolkata, 700108, India
* e-mail: arpan@bose.res.in
Received:
23
January
2015
Accepted:
14
April
2015
Published online:
12
May
2015
Ideal fluid dynamics is studied as a relativistic field theory with particular stress on its hamiltonian structure. The Schwinger condition, whose integrated version yields the stress tensor conservation, is explicitly verified both in equal-time and light-cone coordinate systems. We also consider the hamiltonian formulation of fluids interacting with an external gauge field. The complementary roles of the canonical (Noether) stress tensor and the symmetric one obtained by metric variation are discussed.
© SIF and Springer-Verlag Berlin Heidelberg, 2015
