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Phase nucleation in curved space

弯曲空间中的相成核

基本信息

批准号：
21K03540
负责人：
フラキアントニノ
金额：
$ 2.16万
依托单位：
Keio University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2021
资助国家：
日本
起止时间：
2021-04-01 至 2025-03-31
项目状态：
未结题

来源：
https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-21K03540/
关键词：
Phase transition Quantum vacuum Curved space Quantum field theory Zeta function Effective action Cold atoms Spectral geometry phase nucleation quantum fields phase transitions curved surfaces bubble nucleation curved space symm

项目摘要

The work carried so far has been focusing on developing a technique to compute quantum vacuum effects in stationary backgrounds and in theories with interactions, as these allow to consider phase transitions and bubble nucleation.We have developed such a method for a nonlinear quantum field theory for which we could exactly integrate the equation of motion and in turn quantize the theory at full nonlinear level, without resorting to a perturbative approach. Furthermore we have developed an original and very powerful numerical implementation of zeta-function regularization, based on the Weyl spectral theorem. We have tested this approach to compute the vacuum energy in a variety of cases (work published in Physical Review D) and we have just extended the approach to a non-relativistic Schrodinger quantum field theory (a paper is being written up and should be submitted before the summer).The problem we are currently engaged in has to do with the formation of bubbles, as outlined in the research proposal, in the context of a Bose binary mixture on a spherical surface. This part of the work is in progress: we have developed the necessary formalism to address this problem and we are in the process of developing its numerical implementation. We hope to finish a paper about this also before next summer.

到目前为止所开展的工作一直集中在开发一种技术来计算静止背景和有相互作用的理论中的量子真空效应，因为这些技术允许考虑相变和气泡成核。我们已经为非线性量子场理论开发了这样一种方法，对于这种方法，我们可以精确地积分运动方程，进而在完全非线性水平上量子化理论，而不需要求助于微扰方法。此外，基于Weyl谱定理，我们还开发了Zeta函数正则化的一种新颖且非常强大的数值实现。我们已经在各种情况下测试了这种方法来计算真空能量(发表在物理评论D上的工作)，我们刚刚将这种方法扩展到非相对论薛定谔量子场论(一篇论文正在撰写中，应该在夏天之前提交)。我们目前从事的问题与气泡的形成有关，正如研究提案中概述的那样，在球面上的玻色双星混合物的背景下。这部分工作正在进行中：我们已经制定了必要的形式主义来解决这一问题，我们正在制定其数字实施过程。我们也希望在明年夏天之前完成一篇关于这方面的论文。

项目成果

期刊论文数量（4）

专著数量（0）

科研奖励数量（0）

会议论文数量（0）

专利数量（0）

Quantum vacuum, rotation, and nonlinear fields

量子真空、旋转和非线性场

DOI：
10.1103/physrevd.107.025008
发表时间：
2023
期刊：
PHYSICAL REVIEW D
影响因子：
5
作者：
Shinichi Mikami;Akihiro Matsuo;Eunsang Kwon;and Kozo Toyota;Antonino Flachi and Matthew Edmonds
通讯作者：
Antonino Flachi and Matthew Edmonds

Reflections on symmetry breaking and the quantum vacuum

对对称性破缺和量子真空的思考