CLASSICAL FERMI FLUID AND GEOMETRIC ACTION FOR c=1
1993 ◽
Vol 08
(02)
◽
pp. 325-349
◽
Keyword(s):
We formulate the c=1 matrix model as a quantum fluid and discuss its classical limit in detail, emphasizing the ħ corrections. We view the fermi fluid profiles as elements of w∞-coadjoint orbit and write down a geometric action for the classical phase space. In the specific representation of fluid profiles as “strings” the action is written in a four-dimensional form in terms of gauge fields built out of the embedding of the “string” in the phase plane. We show that the collective field action can be derived from the above action provided one restricts to quadratic fluid profiles and ignores the dynamics of their “turning points”.
2020 ◽
Vol 32
(10)
◽
pp. 2050031
◽
Keyword(s):
1987 ◽
Vol 48
(C2)
◽
pp. C2-185-C2-194
2015 ◽
Vol 22
(04)
◽
pp. 1550021
◽
2011 ◽
Vol 26
(26)
◽
pp. 4647-4660
Keyword(s):
2000 ◽
Vol 274
(3-4)
◽
pp. 98-103
◽
2001 ◽
Vol 42
(9)
◽
pp. 4020-4030
◽
2006 ◽
Vol 21
(03)
◽
pp. 505-516
◽
1994 ◽
pp. 491-492