Regularized trace formula of magic Gribov operator on Bargmann space.

In this article, we obtain a regularized trace formula for magic Gribov operator H = λ ″ G + H μ , λ acting on Bargmann space where G = a ⁎ 3 a 3 and H μ , λ = μ a ⁎ a + i λ a ⁎ ( a + a ⁎ ) a Here a and a ⁎ are the standard Bose annihilation and creation operators and in Reggeon field theory, the real parameters λ ″ is the magic coupling of Pomeron, μ is Pomeron intercept, λ is the triple coupling of Pomeron and i 2 = − 1 . By applying some abstract results of Sadovnichii–Podol'skii (2002) [23] , we give the number of corrections sufficient for the existence of finite formula of the trace of concrete magic Gribov's operator. [ABSTRACT FROM AUTHOR]