Approximation of the semigroup generated by the Hamiltonian of Reggeon field theory in Bargmann space |
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| Authors: | Abdelkader Intissar |
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| Institution: | Equipe d'Analyse spectrale, Faculté des Sciences et Techniques, Université de Corté, 20250 Corté, France Le Prador, 129, rue du Commandant Rolland, 13008 Marseille, France |
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| Abstract: | The Reggeon field theory is governed by a non-self adjoint operator constructed as a polynomial in A, A*, the standard Bose annihilation and creation operators. In zero transverse dimension, this Hamiltonian acting in Bargmann space is defined by Hλ′,μ=λ′A*2A2+μA*A+iλA*(A*+A)A, |
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| Keywords: | Generalized Trotter product formula Trace-norm convergence Reggeon field theory |
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