scholarly journals Green functions of higher-order differential operators

1998 ◽  
Vol 39 (5) ◽  
pp. 2889-2909 ◽  
Author(s):  
Ivan G. Avramidi
Keyword(s):  
Differential Operators ◽  
Higher Order ◽  
Green Functions

scholarly journals Lieb–Thirring inequalities for higher order differential operators

2008 ◽  
Vol 281 (2) ◽  
pp. 199-213 ◽  
Author(s):  
Clemens Förster ◽  
Jörgen Östensson
Keyword(s):  
Differential Operators ◽  
Higher Order

COMPARISON OF THE ANOMALOUS AND NONANOMALOUS GENERALIZED SCHWINGER MODELS VIA THE FUNCTIONAL FORMALISM

1994 ◽  
Vol 09 (13) ◽  
pp. 2229-2244 ◽  
Author(s):  
ALVARO DE SOUZA DUTRA
Keyword(s):  
Correlation Functions ◽  
Lagrangian Density ◽  
Source Term ◽  
Higher Order ◽  
Green Functions ◽  
Functional Formalism ◽  
Gauge Invariant ◽  
Schwinger Model ◽  
Physical Consequences ◽  
Higher Order Lagrangian

We calculate the Green functions of the two versions of the generalized Schwinger model, the anomalous and the nonanomalous one, in their higher order Lagrangian density form. Furthermore, it is shown through a sequence of transformations that the bosonized Lagrangian density is equivalent to the former, at least for the bosonic correlation functions. The introduction of the sources from the beginning, leading to a gauge-invariant source term, is also considered. It is verified that the two models have the same correlation functions only if the gauge-invariant sector is taken into account. Finally, there is presented a generalization of the Wess-Zumino term, and its physical consequences are studied, in particular the appearance of gauge-dependent massive excitations.

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