Regularized trace formula of magic Gribov operator on Bargmann space

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• 作者：Abdelkader Intissar^a ; ^b ; ^{intissar@univ-corse.fr" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Gribov operator ; Regularized trace formula ; Non-self-adjoint operators ; Bargmann space ; Reggeon field theory
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2016
• 出版时间：1 May 2016
• 年：2016
• 卷：437
• 期：1
• 页码：59-70
• 全文大小：351 K

文摘

In this article, we obtain a regularized trace formula for magic Gribov operator ve&_eid=1-s2.0-S0022247X15011920&_mathId=si1.gif&_user=111111111&_pii=S0022247X15011920&_rdoc=1&_issn=0022247X&md5=384f537b5983aa92ee1eac1dbae93640" title="Click to view the MathML source">H=λ^″G+H_μ,λ acting on Bargmann space wherev class="formula" id="fm0010">v class="mathml">ve&_eid=1-s2.0-S0022247X15011920&_mathId=si2.gif&_user=111111111&_pii=S0022247X15011920&_rdoc=1&_issn=0022247X&md5=f380886b51c9eaa60c80fc6cf917c0b7">v>v> Here a   and ve&_eid=1-s2.0-S0022247X15011920&_mathId=si3.gif&_user=111111111&_pii=S0022247X15011920&_rdoc=1&_issn=0022247X&md5=c5256264648556ac692696b4b789653d" title="Click to view the MathML source">a^⁎ are the standard Bose annihilation and creation operators and in Reggeon field theory, the real parameters ve&_eid=1-s2.0-S0022247X15011920&_mathId=si4.gif&_user=111111111&_pii=S0022247X15011920&_rdoc=1&_issn=0022247X&md5=1183e80886822c7793c8bd27adee64ea" title="Click to view the MathML source">λ^″ is the magic coupling of Pomeron, μ is Pomeron intercept, λ   is the triple coupling of Pomeron and ve&_eid=1-s2.0-S0022247X15011920&_mathId=si5.gif&_user=111111111&_pii=S0022247X15011920&_rdoc=1&_issn=0022247X&md5=5c66b4b250bebab77b11c21e584a8d38" title="Click to view the MathML source">i²=−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.