Pi system: Difference between revisions

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fixed missing subscript in display
en>Hairer
Fixed typo
 
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{{Unreferenced|date=December 2009}}
Hi there, I am Alyson Pomerleau and I think it seems quite great when you say it. Credit authorising is how he makes money. One of the issues she loves most is canoeing and she's been performing it for quite a whilst. For many years she's been residing in Kentucky but her spouse wants them to move.<br><br>Also visit my web page psychic phone readings ([http://www.sirudang.com/siroo_Notice/2110 www.sirudang.com])
 
In [[field theory (physics)|field theory]], a '''nonlocal Lagrangian''' is a [[Lagrangian]], a type of [[functional (mathematics)|functional]] <math> \mathcal{L}[\phi(x)] </math> which contains terms which are ''nonlocal'' in the fields <math> \ \phi(x)</math> i.e. which are not polynomials or functions of the fields or their derivatives evaluated at a single point in the space of dynamical parameters (e.g. [[space-time]]). Examples of such nonlocal Lagrangians might be
 
:<math> \mathcal{L} = \frac{1}{2}(\partial_x \phi(x))^2 - \frac{1}{2}m^2 \phi(x)^2 + \phi(x) \int{\frac{\phi(y)}{(x-y)^2} \, d^ny}</math>
:<math> \mathcal{L} = - \frac{1}{4}\mathcal{F}_{\mu \nu}(1+\frac{m^2}{\partial^2})\mathcal{F}^{\mu \nu}</math>
:<math>S=\int dt \, d^dx \left[\psi^*(i\hbar \frac{\partial}{\partial t}+\mu)\psi-\frac{\hbar^2}{2m}\nabla \psi^*\cdot \nabla \psi\right]-\frac{1}{2}\int dt \, d^dx \, d^dy \, V(\vec{y}-\vec{x})\psi^*(\vec{x})\psi(\vec{x})\psi^*(\vec{y})\psi(\vec{y})</math>
:The [[Wess–Zumino–Witten model|Wess–Zumino–Witten action]]
 
[[Action (physics)|Actions]] obtained from nonlocal Lagrangians are called ''nonlocal actions''. The actions appearing in the fundamental theories of physics, such as the [[Standard Model]], are local actions—nonlocal actions play a part in theories which attempt to go beyond the Standard Model, and also appear in some [[effective field theory|effective field theories]]. Nonlocalization of a local action is also an essential aspect of some [[regularization (physics)|regularization]] procedures. [[Noncommutative quantum field theory]] also gives rise to nonlocal actions.
 
[[Category:Quantum measurement]]
[[Category:Quantum field theory]]
[[Category:Theoretical physics]]

Latest revision as of 22:59, 15 December 2014

Hi there, I am Alyson Pomerleau and I think it seems quite great when you say it. Credit authorising is how he makes money. One of the issues she loves most is canoeing and she's been performing it for quite a whilst. For many years she's been residing in Kentucky but her spouse wants them to move.

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