2015 Fiscal Year Annual Research Report
| Project/Area Number |
14J05990
|
|---|
| Research Institution | The University of Tokyo |
|---|
Principal Investigator |
モラレス ロドリゲスパブロア 東京大学, 理学系研究科, 特別研究員(DC1)
|
|---|
| Project Period (FY) |
2014-04-25 – 2017-03-31
|
| Keywords | Particle production / Anomalies / Fluid dynamics / Field theory |
|---|
| Outline of Annual Research Achievements |
1. Field theory formulation of the perfect fluid
An action principle for the perfect fluid has been proposed. Within the proposed formalism a long-standing problem regarding the description of rotational flow was settled; Clebsch potential variables emerge without additional constraints and give a framework free of redundant degrees of freedom. The formulation naturally leads to two novel types of interactions. Gauge on the Clebsch potential result in the abelian and non-abelian fluids, while interaction on the velocity potentials allow us to explore for the first time, the conversion of rest-mass energy to energies of other fields and vice-versa. Results uploaded to arxiv and submitted to Physical Review Letters for publication. Further extensions and generalities are currently under study.
2. Particle production under external fields
Production of fermions with mass was studied in response to a background electromagnetic field at real-time. The anomalous currents were studied at the CP-odd domain considering a non-zero parallel component of the B with respect to E, numerically. The produced net current were simulated for different values of the fermion mass at real-time using naive fermions. A quantitative description of mass suppression on momentum particle and antiparticle distributions was gained. As a test for the numerical framework, results were contrasted with Wilson fermions showing consistency with the Nielsen-Ninomiya no go theorem. Results were presented at two international conferences and are to be currently being prepared for publication.
|
| Current Status of Research Progress |
Current Status of Research Progress
2: Research has progressed on the whole more than it was originally planned.
Reason
The reason for this, can be split into two parts.
On the one hand the work on fluid field theory settles a long-standing issue in the establishment of fluid dynamics as a proper classical field theory. Its development allows us, for the first time, to consider the perfect fluid field theory in the same footing with other gauge theories. In this way, our proposal naturally leads to novel phenomena such as rest-mass energy conversion, the inclusion of gauge fields (Abelian, non-Abelian -fluids) and various yet to be explored interactions within a self-consistent picture. With a now complete classical formulation, this research constitutes the first step towards new unexplored territory, allowing us to contemplate the possibility of a quantum formulation.
On the other hand, much progress was achieved on the project regarding particle production. Not only the effects of mass were effectively incorporated into this picture but also a systematic comparison with the implementation of Wilson fermions was done, assuring that our model is free from effects of spurious states or doublers. The obtained currents showed consistency with the Nielsen-Ninomiya no-go theorem paving the way towards the final goal related to particle production in heavy ion collisions.
|
| Strategy for Future Research Activity |
Two main topics were dealt this fiscal year by the present researcher; the development of a field theoretical formulation of fluid mechanics and on the other the problem of particle production on the topological domain. Regarding the first topic, extensions of the proposed formalism currently being explored, within the context of rest-mass energy conversion in a two-fluid model and other interactions related to the gauge-fluid coupling. Applications to cosmology in the early universe and to rotating black holes in analogue gravity where the fluid action principle takes a crucial role are to studied. As for the particle production side, the present research pretends to conclude numerical simulations on top of the color glass condensate background and provide predictions to physics at heavy ion collisions, also applications regarding chiral plasma instability and leptogenesis where fermion production simulations on the topological domain should be able to make interesting predictions.
|
Research Products
(2 results)
