Soft Collinear Degeneracies in an Asymptotically Free Theory
In asymptotically free theories with collinear divergences it is sometimes claimed that these divergences are cancelled if one sums over initial and final state degenerate cross-sections and uses an off-shell renormalisation scheme. We show for scalar ϕ3 theory in six dimensions that there are furth...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2012/379736 |
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| author | Martin Lavelle David McMullan Tom Steele |
| author_facet | Martin Lavelle David McMullan Tom Steele |
| author_sort | Martin Lavelle |
| collection | DOAJ |
| description | In asymptotically free theories with collinear divergences it is sometimes claimed that these divergences are cancelled if one sums over initial and final state degenerate cross-sections and uses an off-shell renormalisation scheme. We show for scalar ϕ3 theory in six dimensions that there are further classes of soft collinear divergences and that they are not cancelled. Furthermore, they yield a nonconvergent series of terms at a fixed order of perturbation theory. Similar effects in gauge theories are also summarised. |
| format | Article |
| id | doaj-art-5c1ee11522574651815858e0042848d7 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
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| series | Advances in High Energy Physics |
| spelling | doaj-art-5c1ee11522574651815858e0042848d72025-02-03T01:20:26ZengWileyAdvances in High Energy Physics1687-73571687-73652012-01-01201210.1155/2012/379736379736Soft Collinear Degeneracies in an Asymptotically Free TheoryMartin Lavelle0David McMullan1Tom Steele2School of Computing and Mathematics, University of Plymouth, Plymouth PL4 8AA, UKSchool of Computing and Mathematics, University of Plymouth, Plymouth PL4 8AA, UKDepartment of Physics & Engineering Physics, University of Saskatchewan, Saskatoon, SK, S7N 5E2, CanadaIn asymptotically free theories with collinear divergences it is sometimes claimed that these divergences are cancelled if one sums over initial and final state degenerate cross-sections and uses an off-shell renormalisation scheme. We show for scalar ϕ3 theory in six dimensions that there are further classes of soft collinear divergences and that they are not cancelled. Furthermore, they yield a nonconvergent series of terms at a fixed order of perturbation theory. Similar effects in gauge theories are also summarised.http://dx.doi.org/10.1155/2012/379736 |
| spellingShingle | Martin Lavelle David McMullan Tom Steele Soft Collinear Degeneracies in an Asymptotically Free Theory Advances in High Energy Physics |
| title | Soft Collinear Degeneracies in an Asymptotically Free Theory |
| title_full | Soft Collinear Degeneracies in an Asymptotically Free Theory |
| title_fullStr | Soft Collinear Degeneracies in an Asymptotically Free Theory |
| title_full_unstemmed | Soft Collinear Degeneracies in an Asymptotically Free Theory |
| title_short | Soft Collinear Degeneracies in an Asymptotically Free Theory |
| title_sort | soft collinear degeneracies in an asymptotically free theory |
| url | http://dx.doi.org/10.1155/2012/379736 |
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