Academic Journal
Schrödinger invariance and space-time symmetries Malte Henkel a and Jérémie Unterberger b a Laboratoire de Physique des Matériaux, 1
| العنوان: | Schrödinger invariance and space-time symmetries Malte Henkel a and Jérémie Unterberger b a Laboratoire de Physique des Matériaux, 1 |
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| المؤلفون: | Université Henri Poincaré Nancy I |
| المساهمون: | The Pennsylvania State University CiteSeerX Archives |
| المصدر: | http://arxiv.org/pdf/hep-th/0302187v1.pdf. |
| سنة النشر: | 2003 |
| المجموعة: | CiteSeerX |
| مصطلحات موضوعية: | Schrödinger invariance, conformal invariance, Ward identity, energy-momentum tensor, parabolic subalgebra, response function, ageing 1 |
| الوصف: | The free Schrödinger equation with mass M can be turned into a non-massive Klein-Gordon equation via Fourier transformation with respect to M. The kinematic symmetry algebra sch d of the free d-dimensional Schrödinger equation with M fixed appears therefore naturally as a parabolic subalgebra of the complexified conformal algebra conf d+2 in d + 2 dimensions. The explicit classification of the parabolic subalgebras of conf 3 yields physically interesting dynamic symmetry algebras. This allows us to propose a new dynamic symmetry group relevant for the description of ageing far from thermal equilibrium, with a dynamical exponent z = 2. The Ward identities resulting from the invariance under conf d+2 and its parabolic subalgebras are derived and the corresponding free-field energy-momentum tensor is constructed. We also derive the scaling form and the causality conditions for the two- and three-point functions and their relationship with response functions in the context of Martin-Siggia-Rose theory. |
| نوع الوثيقة: | text |
| وصف الملف: | application/pdf |
| اللغة: | English |
| Relation: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.266.5372; http://arxiv.org/pdf/hep-th/0302187v1.pdf |
| الاتاحة: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.266.5372 http://arxiv.org/pdf/hep-th/0302187v1.pdf |
| Rights: | Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| رقم الانضمام: | edsbas.CC3F803C |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |