Abstract:
Adler's principle and the requirement of algebraic duality are discussed with relation to individual
terms of the expansion of the n-point dual amplitude with respect to homogeneous
functions of degree r=1,2,… of the kinematic invariants sik. The fulfillment of Adler's
principle is ensured by the use of a phenomenological Lagrangian that is invariant under
the considered symmetry group and contains arbitrarily many derivatives of the meson
fields. It is shown that the requirement of algebraic duality leads to more or less strict
restrictions depending on the structure of the symmetry group.
Citation:
D. V. Volkov, V. D. Gershun, A. A. Zheltukhin, A. I. Pashnev, “Adler's principle and algebraic duality”, TMF, 15:2 (1973), 245–258; Theoret. and Math. Phys., 15:2 (1973), 495–504
This publication is cited in the following 3 articles:
A. A. Zheltukhin, “Gauge theory approach to branes and spontaneous symmetry breaking”, Rev. Math. Phys., 29:03 (2017), 1750009
D. Kazakov, S. Pushkin, “Two-loop divergences of field theories with nonlinear symmetry”, Letters in Mathematical Physics, 2:3 (1978), 195
D. I. Kazakov, V. N. Pervushin, S. V. Pushkin, “Invariant renormalization for theories with nonlinear symmetry”, Theoret. and Math. Phys., 31:2 (1977), 389–394