國立高雄大學圖資館 |

Language: English

Back

Bosonic and graded color-flavor tran...

Wei, Yi.

Bosonic and graded color-flavor transformation for the special unitary group.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Bosonic and graded color-flavor transformation for the special unitary group.
Author:	Wei, Yi.
Description:	124 p.
Notes:	Director: Tilo Wettig.
Notes:	Source: Dissertation Abstracts International, Volume: 66-03, Section: B, page: 1526.
Contained By:	Dissertation Abstracts International66-03B.
Subject:	Physics, Elementary Particles and High Energy.
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3169014
ISBN:	9780542050183

Bosonic and graded color-flavor transformation for the special unitary group.
Wei, Yi.

Bosonic and graded color-flavor transformation for the special unitary group. - 124 p.

Director: Tilo Wettig.

Thesis (Ph.D.)--Yale University, 2005.

The color-flavor transformation is an integral identity which first appeared in the study of disordered systems in condensed matter physics. Since then it has been successfully applied to many fields of physics. In this thesis, we study its applications in lattice quantum chromodynamics (QCD), the fundamental theory to study the non-perturbative properties of strongly interacting particles. The advantage of this transformation is that it can simplify the numerical simulations as well as provide analytical insights into lattice gauge theory.

ISBN: 9780542050183Subjects--Topical Terms:

227490
Physics, Elementary Particles and High Energy.

Bosonic and graded color-flavor transformation for the special unitary group.
LDR:02788nmm _2200265 _450 001 170636
005 20061228142205.5
008 090528s2005 eng d
020 $a 9780542050183
035 $a 00242666
040 $a UnM $c UnM
100 0 $a Wei, Yi. $3 244663
245 1 0 $a Bosonic and graded color-flavor transformation for the special unitary group.
300 $a 124 p.
500 $a Director: Tilo Wettig.
500 $a Source: Dissertation Abstracts International, Volume: 66-03, Section: B, page: 1526.
502 $a Thesis (Ph.D.)--Yale University, 2005.
520 # $a The color-flavor transformation is an integral identity which first appeared in the study of disordered systems in condensed matter physics. Since then it has been successfully applied to many fields of physics. In this thesis, we study its applications in lattice quantum chromodynamics (QCD), the fundamental theory to study the non-perturbative properties of strongly interacting particles. The advantage of this transformation is that it can simplify the numerical simulations as well as provide analytical insights into lattice gauge theory.
520 # $a We begin with an outline of the background and the motivation for this thesis. Then we briefly introduce a few general concepts of lattice gauge theory. Next we review the fermionic color-flavor transformation for SU( Nc), where Nc is the number of color degrees of freedom, and its applications in fermion-induced QCD. By studying the resulting baryon loop expansion, we recognize both the advantages of this transformation and the difficulties associated with fermion-induced QCD. We then introduce an alternative scheme, i.e., boson-induced Yang-Mills theory, in which the bosonic color-flavor transformation plays the role of a duality transformation. We proceed by explicitly deriving the bosonic color-flavor transformation for the gauge group SU(Nc), which has not been studied so far. However, the method we use, which has also been used by other authors, leads to a result with a limited range of applicability. We then introduce a new method which can extend the transformation, for both the U(Nc) and the SU(Nc) gauge groups, to a larger regime of applicability. Finally, we study the graded color-flavor transformation for the special unitary group, which is of interest in boson-induced QCD. An open problem in our result on the graded transformations is raised and discussed at the end.
590 $a School code: 0265.
650 # 0 $a Physics, Elementary Particles and High Energy. $3 227490
690 $a 0798
710 0 # $a Yale University. $3 212430
773 0 # $g 66-03B. $t Dissertation Abstracts International
790 $a 0265
790 1 0 $a Wettig, Tilo, $e advisor
791 $a Ph.D.
792 $a 2005
856 4 0 $u http://libsw.nuk.edu.tw:81/login?url=http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3169014 $z http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3169014