Algebra of Superalgebraic Spinors as Algebra of Second Quantization of Fermions

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Algebra of Superalgebraic Spinors as Algebra of Second Quantization of Fermions. / Монахов, Вадим Валериевич ; Кожедуб, Алексей Владимирович.

In: Geometry, Integrability and Quantization, Vol. 22, 16.05.2021, p. 165-187.

Research output: Contribution to journal › Conference article › peer-review

BibTeX

@article{bcc9ce792eab43bcaa26b62a533c3cb6,

title = "Algebra of Superalgebraic Spinors as Algebra of Second Quantization of Fermions",

abstract = "We developed the theory of superalgebraic spinors, which is based on the use of Grassmann densities and derivatives with respect to them in a pseudo-continuous space of momenta. The algebra that they form corresponds to the algebra of second quantization of fermions. We have constructed a vacuum state vector and have shown that it is symmetric with respect to P, CT and CPT transformations. Operators C and T transforms the vacuum into an alternative one. Therefore, time inversion T and charge conjugation C cannot be exact symmetries of the spinors.",

keywords = "CPT, Clifford algebra, Discrete space, Second quantization, Spacetime, Spinor vacuum, space-time, discrete space, spinor vacuum, second quantization",

author = "Монахов, {Вадим Валериевич} and Кожедуб, {Алексей Владимирович}",

year = "2021",

month = may,

day = "16",

doi = "10.7546/giq-22-2021-165-187",

language = "English",

volume = "22",

pages = "165--187",

journal = "Geometry, Integrability and Quantization",

issn = "1314-3247",

publisher = "Project Euclid",

note = "null ; Conference date: 08-06-2020 Through 13-06-2020",

url = "http://www.bio21.bas.bg/conference/",

}

RIS

TY - JOUR

T1 - Algebra of Superalgebraic Spinors as Algebra of Second Quantization of Fermions

AU - Монахов, Вадим Валериевич

AU - Кожедуб, Алексей Владимирович

PY - 2021/5/16

Y1 - 2021/5/16

N2 - We developed the theory of superalgebraic spinors, which is based on the use of Grassmann densities and derivatives with respect to them in a pseudo-continuous space of momenta. The algebra that they form corresponds to the algebra of second quantization of fermions. We have constructed a vacuum state vector and have shown that it is symmetric with respect to P, CT and CPT transformations. Operators C and T transforms the vacuum into an alternative one. Therefore, time inversion T and charge conjugation C cannot be exact symmetries of the spinors.

AB - We developed the theory of superalgebraic spinors, which is based on the use of Grassmann densities and derivatives with respect to them in a pseudo-continuous space of momenta. The algebra that they form corresponds to the algebra of second quantization of fermions. We have constructed a vacuum state vector and have shown that it is symmetric with respect to P, CT and CPT transformations. Operators C and T transforms the vacuum into an alternative one. Therefore, time inversion T and charge conjugation C cannot be exact symmetries of the spinors.

KW - CPT

KW - Clifford algebra

KW - Discrete space

KW - Second quantization

KW - Spacetime

KW - Spinor vacuum

KW - space-time

KW - discrete space

KW - spinor vacuum

KW - second quantization

UR - http://www.bio21.bas.bg/proceedings/Proceedings_files/vol22content.htm

UR - http://www.scopus.com/inward/record.url?scp=85108525510&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/f2cc8ee8-5842-34f2-9519-e6f3a8738791/

U2 - 10.7546/giq-22-2021-165-187

DO - 10.7546/giq-22-2021-165-187

M3 - Conference article

VL - 22

SP - 165

EP - 187

JO - Geometry, Integrability and Quantization

JF - Geometry, Integrability and Quantization

SN - 1314-3247

Y2 - 8 June 2020 through 13 June 2020

ER -

ID: 76894847