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arXiv · 1311.2163

Regularized trace formula of magic Gribov operator on Bargmann space

Abdelkader Intissar
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Abstract

In this article, we obtain a regularized trace formula for magic Gribov operator\\ $ H = λ{''}G + H_{μ,λ}$ acting on Bargmann space where $$G = a^{*3}a^{3} \quad \quad and \quad \quad H_{μ,λ} = μa^{*}a + iλa^{*}(a + a^{*})a$$ 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 $i^{2} = -1$. An exact relation is established between the degree of subordination of the perturbation operator $H_{μ,λ}$ to the unperturbed operator $G$ and the number of corrections necessary for the existence of finite formula of the trace.

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Abdelkader Intissar. 2013-11-09. Regularized trace formula of magic Gribov operator on Bargmann space. https://arxiv.org/abs/1311.2163

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