（A）dS时空中的铁离子连续自旋规范场研究

201 浏览量更新于2024-09-03 收藏 373KB PDF 举报

"这篇研究论文探讨了在(A)dS（Anti-de Sitter）时空背景下传播的铁离子连续自旋规范场。作者R.R.Metsaev来自俄罗斯P.N.列别捷夫物理研究所的理论物理部门。文章在Physics Letters B期刊上发表，详细介绍了如何建立这种铁离子连续自旋场的规范不变拉格朗日公式，并分析了其运动方程的解耦极限。在(A)dS空间中，铁离子连续自旋场的理论构建是基于三重伽马无迹张量与旋轴狄拉克场。这里的拉格朗日函数以此为基础，同时利用伽马无轨规范转换参数来实现规范对称性。规范对称性是量子场论中的核心概念，它确保了物理结果不会因选择不同的规范而改变。通过这种方式，研究者能够构建出一个不受特定规范选择影响的理论框架。文章中还提到了一个关键发现，即铁离子连续自旋场的分布函数等于一。这在统计力学中具有重要意义，因为分布函数通常用来描述系统中粒子的状态分布。在这种情况下，分布函数的值表明了系统的一个特定特性，可能与该场的均匀性和稳定性有关。进一步的研究涉及到了改进的de Donder量规条件。de Donder量规（或称平滑量规）是广义相对论中常用的一种规范，它可以使得引力场方程的形式更为简洁。论文中提出的改进版本使得分析运动方程的工作变得更加简单，这对于理解和求解场的动力学行为至关重要。此外，作者还探讨了自旋无质量、部分无质量和大量费米子场的解耦极限。解耦极限是一种技术手段，可以将复杂系统中的不同组成部分分离开来，以便分别研究它们的性质。在这个过程中，研究者可能发现了在不同极限条件下，铁离子连续自旋场与其他粒子或场之间的相互作用如何变化，这对于理解这些场的动态行为和潜在的应用场景提供了有价值的洞察。这篇论文深入研究了(A)dS时空中的铁离子连续自旋规范场，不仅发展了相应的规范不变理论，还探索了其基本特性和动力学行为，对于高维量子场论和宇宙学等领域有重要的理论贡献。"

Physics Letters B 773 (2017) 135–141

Contents lists available at ScienceDirect

Physics Letters B

www.elsevier.com/locate/physletb

Fermionic continuous spin gauge ﬁeld in (A)dS space

R.R. Metsaev

Department of Theoretical Physics, P.N. Lebedev Physical Institute, Leninsky prospect 53, Moscow 119991, Russia

a r t i c l e i n f o a b s t r a c t

Article history:

Received

13 July 2017

Received

in revised form 9 August 2017

Accepted

11 August 2017

Available

online 16 August 2017

Editor:

N. Lambert

Keywords:

Fermionic

ﬁeld

Continuous

spin

Higher-spin

ﬁeld

Fermionic continuous spin ﬁeld propagating in (A)dS space–time is studied. Gauge invariant Lagrangian

formulation for such fermionic ﬁeld is developed. Lagrangian of the fermionic continuous spin ﬁeld is

constructed in terms of triple gamma-traceless tensor–spinor Dirac ﬁelds, while gauge symmetries are

realized by using gamma-traceless gauge transformation parameters. It is demonstrated that partition

function of fermionic continuous spin ﬁeld is equal to one. Modiﬁed de Donder gauge condition that

considerably simpliﬁes analysis of equations of motion is found. Decoupling limits leading to arbitrary

spin massless, partial-massless, and massive fermionic ﬁelds are studied.

(http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP

1. Introduction

In view of many interesting features of continuous spin gauge

ﬁeld theory this topic has attracted some interest in recent time

[1–3]. For a list of references devoted to various aspects of contin-

uous

spin ﬁeld, see Refs. [2,4,5]. It seems likely that some regime

of the string theory can be related to continuous spin ﬁeld theory

(see, e.g., Refs. [6]). Other interesting feature of continuous spin

ﬁeld theory, which triggered our interest in this topic, is that the

bosonic continuous spin ﬁeld can be decomposed into an inﬁnite

chain of coupled scalar, vector, and totally symmetric tensor ﬁelds

which consists of every ﬁeld just once. We recall then that a sim-

ilar

inﬁnite chain of scalar, vector and totally symmetric ﬁelds en-

ters

the theory of bosonic higher-spin gauge ﬁeld in AdS space [7].

Supersymmetry

plays important role in string theory and

higher-spin gauge ﬁeld theory. We expect that supersymmetry

will also play important role in theory of continuous spin ﬁeld.

For a discussion of supersymmetry, we need to study bosonic

and fermionic continuous spin ﬁelds. Lagrangian formulation of

bosonic continuous spin ﬁeld in ﬂat space R

3,1

was studied in

Ref. [2], while Lagrangian formulation of bosonic continuous spin

ﬁeld in ﬂat space R

d,1

and (A)dS

d+1

space with arbitrary d was

discussed in Ref. [3]. Lagrangian formulation of fermionic contin-

uous

spin ﬁeld in ﬂat space R

3,1

was obtained in Ref. [1]. So

far Lagrangian formulation of fermionic continuous spin ﬁeld in

(A)dS

d+1

and R

d,1

with arbitrary d has not been discussed in the

literature. Our major aim in this paper is to develop Lagrangian for-

E-mail address: metsaev@lpi.ru.

mulation of continuous spin fermionic ﬁeld in ﬂat space R

d,1

and

(A)dS

d+1

space with arbitrary d ≥ 3.

As by product, using our La-

grangian

formulation, we compute partition functions of fermionic

continuous spin ﬁelds in (A)dS and ﬂat spaces and show that

such partition functions are equal to 1. Considering various decou-

pling

limits, we demonstrate how massless, partial-massless, and

massive fermionic ﬁelds appear in the framework of Lagrangian

formulation of fermionic continuous spin (A)dS ﬁeld.

2. Lagrangian formulation of fermionic continuous spin ﬁeld

Field content. To discuss gauge invariant and Lorentz covariant

formulation of fermionic continuous spin ﬁeld propagating in

(A)dS

d+1

space we introduce the following set of Dirac complex-

valued

spin-

, spin-

, and tensor–spinor ﬁelds of the Lorentz

so(d, 1) algebra

...a

, n = 0, 1,...,∞, (2.1)

where ﬂat vector indices of the so (d, 1) algebra a

, ..., a

run over

0, 1, ..., d, while α stands for spinor index. In what follows, the

spinor indices will be implicit. In (2.1), ﬁelds with n = 0 and

n = 1are the respective Dirac spin-

and spin-

ﬁelds of the

so(d, 1) algebra, while ﬁelds with n ≥ 2are the totally symmet-

ric

spin-(n +

) Dirac tensor–spinor ﬁelds of the so (d, 1) algebra.

We agree with remarks of Authors in Refs. [1,2] that generalization of La-

grangian

for continuous spin massless ﬁeld in ﬂat space R

3,1

to the case of R

d,1

with d > 3is straightforward.

http://dx.doi.org/10.1016/j.physletb.2017.08.020

0370-2693/

SCOAP

下载后可阅读完整内容，剩余6页未读，立即下载

weixin_38630358

粉丝: 5
资源: 899

（A）dS时空中的铁离子连续自旋规范场研究

铁离子连续自旋粒子的规范场理论

恒定电磁背景下大量铁离子高自旋场的拉格朗日公式

铁离子连续自旋粒子规范场理论的局部协变作用

（A）dS空间中连续自旋场的拉格朗日规范理论与解耦分析

（A）dS空间中的任意自旋共形场理论与拉格朗日公式

（A）dS空间与部分质量自旋投影算子：极点与规范场解析

在AdS和dS时空中铁氧体不受约束的更高自旋规范场的局部作用

（A）dS中的任意自旋保形场

混合对称型的连续自旋场

AdS中的费米离子高自旋三联体

最新资源