Six loop analytical calculation of the field anomalous dimension and the critical exponent η in O(n)-symmetric φ⁴ model

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• 作者：D.V. Batkovich^a ; ^{batya239@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; K.G. Chetyrkin^b ; ^{konstantin.chetyrkin@kit.edu" class="auth_mail" title="E-mail the corresponding author} ; M.V. Kompaniets^a ; ^{m.kompaniets@spbu.ru" class="auth_mail" title="E-mail the corresponding author}
• 刊名：Nuclear Physics B
• 出版年：2016
• 出版时间：May 2016
• 年：2016
• 卷：906
• 期：Complete
• 页码：147-167
• 全文大小：466 K

文摘

We report on a completely analytical calculation of the field anomalous dimension n id="mmlsi1" class="mathmlsrc">n class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0550321316000912&_mathId=si1.gif&_user=111111111&_pii=S0550321316000912&_rdoc=1&_issn=05503213&md5=77ad4a49e377ecf1c4b7b00db694dc6d" title="Click to view the MathML source">γb>φb>n>n class="mathContainer hidden">n class="mathCode">n>n>n> and the critical exponent η   for the n id="mmlsi2" class="mathmlsrc">n class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0550321316000912&_mathId=si2.gif&_user=111111111&_pii=S0550321316000912&_rdoc=1&_issn=05503213&md5=d954687ced5216860dc11d909cd6da04" title="Click to view the MathML source">O(n)n>n class="mathContainer hidden">n class="mathCode">$O(\mathrm{<font\; color="red">n</font>})$n>n>n>-symmetric n id="mmlsi3" class="mathmlsrc">n class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0550321316000912&_mathId=si3.gif&_user=111111111&_pii=S0550321316000912&_rdoc=1&_issn=05503213&md5=70f91617c1ac7822ba233fabd98bf790" title="Click to view the MathML source">φ⁴n>n class="mathContainer hidden">n class="mathCode">n>n>n> model at the record six loop level. We successfully compare our result for n id="mmlsi1" class="mathmlsrc">n class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0550321316000912&_mathId=si1.gif&_user=111111111&_pii=S0550321316000912&_rdoc=1&_issn=05503213&md5=77ad4a49e377ecf1c4b7b00db694dc6d" title="Click to view the MathML source">γb>φb>n>n class="mathContainer hidden">n class="mathCode">n>n>n> with n id="mmlsi4" class="mathmlsrc">n class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0550321316000912&_mathId=si4.gif&_user=111111111&_pii=S0550321316000912&_rdoc=1&_issn=05503213&md5=4c5788e2e639e24bdc90f6f09abac270" title="Click to view the MathML source">n=1n>n class="mathContainer hidden">n class="mathCode">n>n>n> with the predictions based on the method of the Borel resummation combined with a conformal mapping (Kazakov et al., 1979 n id="bbr0400">[40]n>). Predictions for seven loop contribution to the field anomalous dimensions are given.