{"title":"C-parity, magnetic monopoles, and higher frequency gravitational waves","authors":"Rinku Maji, Qaisar Shafi","doi":"10.1103/physrevd.111.075027","DOIUrl":null,"url":null,"abstract":"We consider the spontaneous breaking of S</a:mi>O</a:mi>(</a:mo>10</a:mn>)</a:mo></a:math> grand unified symmetry to the left-right symmetric model <e:math xmlns:e=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><e:mi>S</e:mi><e:mi>U</e:mi><e:mo stretchy=\"false\">(</e:mo><e:mn>3</e:mn><e:msub><e:mo stretchy=\"false\">)</e:mo><e:mi>c</e:mi></e:msub><e:mo>×</e:mo><e:mi>S</e:mi><e:mi>U</e:mi><e:mo stretchy=\"false\">(</e:mo><e:mn>3</e:mn><e:msub><e:mo stretchy=\"false\">)</e:mo><e:mi>L</e:mi></e:msub><e:mo>×</e:mo><e:mi>S</e:mi><e:mi>U</e:mi><e:mo stretchy=\"false\">(</e:mo><e:mn>2</e:mn><e:msub><e:mo stretchy=\"false\">)</e:mo><e:mi>R</e:mi></e:msub><e:mo>×</e:mo><e:mi>U</e:mi><e:mo stretchy=\"false\">(</e:mo><e:mn>1</e:mn><e:msub><e:mo stretchy=\"false\">)</e:mo><e:mrow><e:mi>B</e:mi><e:mo>−</e:mo><e:mi>L</e:mi></e:mrow></e:msub></e:math> with C-parity also unbroken [<o:math xmlns:o=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><o:mi>C</o:mi></o:math> converts <q:math xmlns:q=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><q:mi>Q</q:mi><q:mo stretchy=\"false\">→</q:mo><q:mo>−</q:mo><q:mi>Q</q:mi></q:math>, where <t:math xmlns:t=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><t:mi>Q</t:mi></t:math> is the electric charge operator in <v:math xmlns:v=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><v:mi>S</v:mi><v:mi>O</v:mi><v:mo stretchy=\"false\">(</v:mo><v:mn>10</v:mn><v:mo stretchy=\"false\">)</v:mo></v:math>.] This breaking produces the topologically stable grand unified theory (GUT) monopole as well as a GUT scale C-string. The subsequent breaking at an intermediate scale of C-parity produces domain walls bounded by C-strings, found by Kibble A limited number of inflationary <z:math xmlns:z=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><z:mi>e</z:mi></z:math>-foldings experienced during these breakings can yield an observable number density of primordial GUT monopoles. The C-strings also experience this inflationary phase, and the subsequent string-wall network decays through the emission of gravitational waves. We estimate the gravitational wave spectrum from these composite structures over a range of values of the domain wall tension <bb:math xmlns:bb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><bb:mi>σ</bb:mi></bb:math>. Depending on <db:math xmlns:db=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><db:mi>σ</db:mi></db:math> the spectrum displays a peak in the higher frequency range between <fb:math xmlns:fb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><fb:msup><fb:mn>10</fb:mn><fb:mn>2</fb:mn></fb:msup></fb:math> and <hb:math xmlns:hb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><hb:mrow><hb:msup><hb:mn>10</hb:mn><hb:mn>5</hb:mn></hb:msup><hb:mtext> </hb:mtext><hb:mtext> </hb:mtext><hb:mi>Hz</hb:mi></hb:mrow></hb:math>. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"37 1","pages":""},"PeriodicalIF":5.0000,"publicationDate":"2025-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review D","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevd.111.075027","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}
引用次数: 0
Abstract
We consider the spontaneous breaking of SO(10) grand unified symmetry to the left-right symmetric model SU(3)c×SU(3)L×SU(2)R×U(1)B−L with C-parity also unbroken [C converts Q→−Q, where Q is the electric charge operator in SO(10).] This breaking produces the topologically stable grand unified theory (GUT) monopole as well as a GUT scale C-string. The subsequent breaking at an intermediate scale of C-parity produces domain walls bounded by C-strings, found by Kibble A limited number of inflationary e-foldings experienced during these breakings can yield an observable number density of primordial GUT monopoles. The C-strings also experience this inflationary phase, and the subsequent string-wall network decays through the emission of gravitational waves. We estimate the gravitational wave spectrum from these composite structures over a range of values of the domain wall tension σ. Depending on σ the spectrum displays a peak in the higher frequency range between 102 and 105Hz. Published by the American Physical Society2025
期刊介绍:
Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics.
PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including:
Particle physics experiments,
Electroweak interactions,
Strong interactions,
Lattice field theories, lattice QCD,
Beyond the standard model physics,
Phenomenological aspects of field theory, general methods,
Gravity, cosmology, cosmic rays,
Astrophysics and astroparticle physics,
General relativity,
Formal aspects of field theory, field theory in curved space,
String theory, quantum gravity, gauge/gravity duality.