Strain Gauging Geotextiles Using External Gauge Attachment Method

2008 ◽  
pp. 97-97-14 ◽  
Author(s):  
SH Chew ◽  
WK Wong ◽  
CC Ng ◽  
SA Tan ◽  
GP Karunaratne
Keyword(s):  
Strain Gauging ◽  
External Gauge

Stability and decay of the Dirac vacuum in external gauge fields

1982 ◽  
Vol 85 (2) ◽  
pp. 51-122 ◽  
Author(s):  
Michael Soffel ◽  
Berndt Müller ◽  
Walter Greiner
Keyword(s):  
Gauge Fields ◽  
External Gauge

scholarly journals GAUGE THEORY FORMULATION OF THE c=1 MATRIX MODEL: SYMMETRIES AND DISCRETE STATES

1992 ◽  
Vol 07 (21) ◽  
pp. 5165-5191 ◽  
Author(s):  
SUMIT R. DAS ◽  
AVINASH DHAR ◽  
GAUTAM MANDAL ◽  
SPENTA R. WADIA
Keyword(s):  
Gauge Theory ◽  
Matrix Model ◽  
Two Dimensions ◽  
Liouville Theory ◽  
Gauge Fields ◽  
Classical Solutions ◽  
Group Index ◽  
Classical Action ◽  
Discrete States ◽  
External Gauge

We present a nonrelativistic fermionic field theory in two dimensions coupled to external gauge fields. The singlet sector of the c=1 matrix model corresponds to a specific external gauge field. The gauge theory is one-dimensional (time) and the space coordinate is treated as a group index. The generators of the gauge algebra are polynomials in the single particle momentum and position operators and they form the group [Formula: see text]. There are corresponding Ward identities and residual gauge transformations that leave the external gauge fields invariant. We discuss the realization of the residual symmetries in the Minkowski time theory and conclude that the symmetries generated by the polynomial basis are not realized. We motivate and present an analytic continuation of the model which realizes the group of residual symmetries. We consider the classical limit of this theory and make the correspondence with the discrete states of the c=1 (Euclidean time) Liouville theory. We explain the appearance of the SL(2) structure in [Formula: see text]. We also present all the Euclidean classical solutions and the classical action in the classical phase space. A possible relation of this theory to the N=2 string theory and also self-dual Einstein gravity in four dimensions is pointed out.

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