1992
DOI: 10.1103/physrevd.45.682
|View full text |Cite|
|
Sign up to set email alerts
|

Massive Schwinger model and four-dimensional QED: The connection

Abstract: We state the connection between the fermion determinant in four-dimensional QED (QED,) and the massive Schwinger model, QED,, for the case of smooth, polynomial-bounded, unidirectional magnetic fields. Using the diamagnetic bound on the fermion determinant in QED,, we obtain an upper bound on the fermion determinant in QED, for this class of fields. Using Kato's inequality, we obtain an upper bound on the one-loop effective action in scalar QED, for smooth, polynomial-bounded but otherwise general fields with … Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1
1

Citation Types

0
22
0

Year Published

1993
1993
2003
2003

Publication Types

Select...
6

Relationship

5
1

Authors

Journals

citations
Cited by 9 publications
(22 citation statements)
references
References 18 publications
0
22
0
Order By: Relevance
“…More will be Said below about our choice of fields. Upper bounds on the determinants of QED2 [2,3] and QED4 [4] for these fields, without any constraint on the sign of B, are already known and will be restated below. We will use Schwinger's proper time definition of the determinant of QED4 15-71:…”
Section: School Of Mathematics Trinity College Dublin 2 Iandmdmentioning
confidence: 99%
See 1 more Smart Citation
“…More will be Said below about our choice of fields. Upper bounds on the determinants of QED2 [2,3] and QED4 [4] for these fields, without any constraint on the sign of B, are already known and will be restated below. We will use Schwinger's proper time definition of the determinant of QED4 15-71:…”
Section: School Of Mathematics Trinity College Dublin 2 Iandmdmentioning
confidence: 99%
“…The connection follows almost immediately after differentiating Eq. (1) with respect to rn2 and is given by [4] VI In det,., = s J &l~O# J 1 x 0 dM21n d&&V'),…”
Section: B(r) -[Rn' + B(r)]mentioning
confidence: 99%
“…It remains to understand these cancellations and to verify that they continue at order (ma) 6 and higher orders. The terms R …”
Section: Small-mass Strong-coupling Expansion Of Lndetmentioning
confidence: 99%
“…is the volume of the space-time box for x 3 and x 4 , and on-shell charge renormalization is used [6]. Hence B must be at least square-integrable in what follows.…”
Section: Dualitymentioning
confidence: 99%
See 1 more Smart Citation