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SUMMARY:Massive fermion's correlation functions on a dilute instanton gas 
 background
DTSTART:20201214T110000
DTEND:20201214T123000
DTSTAMP:20260510T045033Z
UID:e00b07d6e914d7e0789a972267fa7675ae92de54c452d16325a0e1ef
CATEGORIES:Conferences - Seminars
DESCRIPTION:Juan S. Cruz (TUM)\nWe derive correlation functions for fermio
 ns with a complex mass in BPST instanton backgrounds in the presence of a 
 general vacuum angle. For this purpose\, we build the Green’s functions 
 in the one instanton background in Euclidean space  through a spectral su
 m in terms of the eigenmodes for the massless case. We show that through a
 n additional basis transformation among the massless modes of opposite eig
 envalues we can include a complex mass term. These results are then used i
 n order to compute the correlation functions for massive fermions by summi
 ng over the background instantons. In these correlation functions\, if the
  infinite-volume limit is taken before the sum over topological sectors\, 
 the chiral phases from the mass terms and from the instanton effects are a
 ligned\, such that\, in absence of additional phases\, these do not give r
 ise to observable effects that would violate charge-parity symmetry.
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STATUS:CONFIRMED
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