de prima speta

English translation: of the first kind

GLOSSARY ENTRY (DERIVED FROM QUESTION BELOW)
Romanian term or phrase:de prima speta
English translation:of the first kind
Entered by: sclaudia

16:15 Oct 2, 2011
Romanian to English translations [PRO]
Science - Physics
Romanian term or phrase: de prima speta
Ele formează un grup comutativ izomorf cu grupul aditiv al întregilor pentru care grupul dual este grupul Lie uniparametric compact s (un grup gauge de prima speţă).
sclaudia
of the first kind
Explanation:

We note that our gauge group is an infinite dimensional Lie group. Hence our gauge theory for soliton equations is contrasted with that of Yang-Mills equations and nonlinear Heisenberg equation in dimensions of their gauge groups [3]. First, we consider the Lagrangian action:
X = \ -fiD^dx (D = d/dx)
for scalar fields ^, T/T, i.e., wave functions on the real line R. We analyse the symmetry of X and obtain as the gauge group of the first kind a group consisting of invertible pseudo-differential operators with constant coefficients of the form:
................
Secondly, we apply the Uchiyama's gauge theory to our Lagrangian formalism.
In this case, the gauge group of the second kind...


A Unified Scheme for Generalized Sectors based on Selection ...
arxiv.org › math-ph
by I Ojima - 2002 - Related articles
20 Jun 2002 – ... we extend the Doplicher-Roberts superselection theory for recovering the field algebra and the gauge group (of the first kind) from the data of ...

Localization in algebraic field theory
www.springerlink.com/index/N305182347107896.pdf
by JE Roberts - 1982 - Cited by 11 - Related articles
of field algebras acted on by a compact gauge group of the first kind generates an additive net of observable algebras. O. Introduction. An elementary particle ...
Selected response from:

Cristina Crişan
Romania
Local time: 13:30
Grading comment
Multumesc!
4 KudoZ points were awarded for this answer



Summary of answers provided
3 +2of the first kind
Cristina Crişan


  

Answers


1 hr   confidence: Answerer confidence 3/5Answerer confidence 3/5 peer agreement (net): +2
of the first kind


Explanation:

We note that our gauge group is an infinite dimensional Lie group. Hence our gauge theory for soliton equations is contrasted with that of Yang-Mills equations and nonlinear Heisenberg equation in dimensions of their gauge groups [3]. First, we consider the Lagrangian action:
X = \ -fiD^dx (D = d/dx)
for scalar fields ^, T/T, i.e., wave functions on the real line R. We analyse the symmetry of X and obtain as the gauge group of the first kind a group consisting of invertible pseudo-differential operators with constant coefficients of the form:
................
Secondly, we apply the Uchiyama's gauge theory to our Lagrangian formalism.
In this case, the gauge group of the second kind...


A Unified Scheme for Generalized Sectors based on Selection ...
arxiv.org › math-ph
by I Ojima - 2002 - Related articles
20 Jun 2002 – ... we extend the Doplicher-Roberts superselection theory for recovering the field algebra and the gauge group (of the first kind) from the data of ...

Localization in algebraic field theory
www.springerlink.com/index/N305182347107896.pdf
by JE Roberts - 1982 - Cited by 11 - Related articles
of field algebras acted on by a compact gauge group of the first kind generates an additive net of observable algebras. O. Introduction. An elementary particle ...


    Reference: http://tinyurl.com/3sd9xtl
Cristina Crişan
Romania
Local time: 13:30
Native speaker of: Romanian
PRO pts in category: 12
Grading comment
Multumesc!

Peer comments on this answer (and responses from the answerer)
agree  George C.
10 mins
  -> Mulţumesc.

agree  Radu DANAILA
16 hrs
  -> Mulţumesc.
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