- Library Home /
- Search Collections /
- Open Collections /
- Browse Collections /
- UBC Theses and Dissertations /
- Rigorous treatement of θ-states
Open Collections
UBC Theses and Dissertations
UBC Theses and Dissertations
Rigorous treatement of θ-states De Jesus, Tiago
Abstract
In the last twenty years there has been growing interest in topological effects in Quantum Field Theories (Q.F.T.'s). In particular, the existence of θ-vacuums in Yang-Mills theories has attracted a lot of attention. One problem with these topological effects in Q.F.T.'s is that they are derived using the assumption that field configurations are represented by smooth functions. It is well known that the fields found in (rigorous) Q.F.T.'s are typically distributional and thus the usual topological arguments are not valid. A natural question to ask is: Do θ-vacuums really exist in the rigorous theory of Q.C.D.? Here we construct the rigorous quantum theory of the electromagnetic field on a 3-torus and prove that 6-vacuums exist in this Q.F.T., still exist. Hence, we show the rigorous existence of topological effects in this Q.F.T. and thus provide strong evidence for the existence of θ-vacuums in Q.C.D.
Item Metadata
Title |
Rigorous treatement of θ-states
|
Creator | |
Publisher |
University of British Columbia
|
Date Issued |
1995
|
Description |
In the last twenty years there has been growing interest in topological effects in Quantum
Field Theories (Q.F.T.'s). In particular, the existence of θ-vacuums in Yang-Mills theories
has attracted a lot of attention. One problem with these topological effects in Q.F.T.'s
is that they are derived using the assumption that field configurations are represented
by smooth functions. It is well known that the fields found in (rigorous) Q.F.T.'s are
typically distributional and thus the usual topological arguments are not valid. A natural
question to ask is: Do θ-vacuums really exist in the rigorous theory of Q.C.D.? Here we
construct the rigorous quantum theory of the electromagnetic field on a 3-torus and prove
that 6-vacuums exist in this Q.F.T., still exist. Hence, we show the rigorous existence
of topological effects in this Q.F.T. and thus provide strong evidence for the existence of
θ-vacuums in Q.C.D.
|
Extent |
3955190 bytes
|
Genre | |
Type | |
File Format |
application/pdf
|
Language |
eng
|
Date Available |
2009-01-27
|
Provider |
Vancouver : University of British Columbia Library
|
Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
|
DOI |
10.14288/1.0085129
|
URI | |
Degree | |
Program | |
Affiliation | |
Degree Grantor |
University of British Columbia
|
Graduation Date |
1995-11
|
Campus | |
Scholarly Level |
Graduate
|
Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.