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Oono, Yoshitsugu Bandyopadhyay, Akash 2015-09-25T20:03:38Z 2015-09-25T20:03:38Z 10000-01-01 2001 2001 In 1970 Callan, Coleman, and Jackiw found that it is always possible to improve the symmetric stress-energy tensor of a renormalizable relativistic field theory over (3+1)-dimensional flat space-time manifold. The improved stress-energy tensor defines the same field energy-momentum and angular momentum as the conventional tensor, and it is traceless for a non-interacting field theory when all coupling constants are physically dimensionless. The question for existence of an improved stress-energy tensor for a scale invariant relativistic field theory on a (1+1)-dimensional flat space-time manifold has been a long standing open problem for almost 30 years. In this thesis, I develop the weakest set of necessary and sufficient conditions for existence of a conserved symmetric traceless stress-energy tensor for a scale invariant relativistic field theory over a d-dimensional flat space-time manifold. This improved tensor, which defines the same conserved charges as the canonical tensor, has been explicitly constructed for arbitrary space-time dimensions including d = 2 intrinsically from the flat space-time field theory without coupling it with gravity. As an example, I derive the improved tensor of (1+1)-dimensional Liouville field theory. We discuss two remarkable results: (1) full conformal symmetry over the flat space-time is sufficient but not necessary for the existence of the improved tensor; (2) quite surprisingly, the improved stress-energy tensor exists in all space-time dimensions for a free massless Abelian U(1) gauge theory provided the gauge symmetry has been broken in favor of Lorentz gauge for d ≠ 2, 4. Made available in DSpace on 2015-09-25T20:03:38Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 9996612.pdf: 2241903 bytes, checksum: e656d0fbe4021fc11d69584bd258fdf6 (MD5) Previous issue date: 2001 Embargo set by: Seth Robbins for item 81975 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 68 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2001. http://hdl.handle.net/2142/80693 (MiAaPQ)AAI9996612 eng Mathematics Improvement of Stress -Energy Tensor Using Space -Time Symmetries text Physics Physics University of Illinois at Urbana-Champaign Dissertation Ph.D.