HIDDEN SYMMETRIES IN QUANTUM FIELD THEORIES FROM EXTENDED COMPLEX NUMBERS
1999 ◽
Vol 14
(26)
◽
pp. 4201-4235
◽
Keyword(s):
The two-dimensional space–time sine–Gordon field theory is extended algebraically within the n-dimensional space of extended complex numbers. This field theory is constructed in terms of an adapted extension of standard vertex operators. A whole set of nonlocal conserved charges is constructed and studied in this framework. Thereby, an algebraic nonperturbative description is possible for this n-1 parameters family of quantum field theories. Known results are obtained for specific values of the parameters, especially in relation to affine Toda field theories. Different (dual)-models can then be described in this formalism.
2000 ◽
Vol 15
(21)
◽
pp. 3315-3340
Keyword(s):
Keyword(s):
Keyword(s):
1999 ◽
Vol 08
(02)
◽
pp. 125-163
◽
1993 ◽
Vol 08
(24)
◽
pp. 2277-2283
◽
1992 ◽
Vol 07
(04)
◽
pp. 777-794
1989 ◽
Vol 04
(07)
◽
pp. 1735-1746
◽
Keyword(s):