<p>We propose a solution to the strong CP problem that specifically relies on massless quarks and has no light axion. The QCD color group SU(3)<sub><i>c</i></sub> is embedded into a larger, simple gauge group (grand-color) where one of the massless, colored fermions enjoys an anomalous chiral symmetry, rendering the strong CP phase unphysical. The grand-color gauge group <i>G</i><sub>GC</sub> is Higgsed down to SU(3)<sub><i>c</i></sub> × <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_25524_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="24" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <msub> <mi>G</mi> <msup> <mi>c</mi> <mo>′</mo> </msup> </msub> </math></EquationSource> <EquationSource Format="TEX">\( {G}_{c^{\prime }} \)</EquationSource> </InlineEquation>, after which <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_25524_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="24" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <msub> <mi>G</mi> <msup> <mi>c</mi> <mo>′</mo> </msup> </msub> </math></EquationSource> <EquationSource Format="TEX">\( {G}_{c^{\prime }} \)</EquationSource> </InlineEquation> eventually confines at a lower scale, spontaneously breaking the chiral symmetry and generating a real, positive mass to the massless, colored fermion. Since the chiral symmetry has a <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_25524_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="24" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <msub> <mi>G</mi> <msup> <mi>c</mi> <mo>′</mo> </msup> </msub> </math></EquationSource> <EquationSource Format="TEX">\( {G}_{c^{\prime }} \)</EquationSource> </InlineEquation> anomaly, there is no corresponding light Nambu-Goldstone boson. The anomalous chiral symmetry can be an accidental symmetry that arises from an exact discrete symmetry without introducing a domain wall problem. Potential experimental signals of our mechanism include vector-like quarks near the TeV scale, pseudo Nambu-Goldstone bosons below the 10 GeV scale, light dark matter decay, and primordial gravitational waves from the new strong dynamics.</p>

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Solving the strong CP problem with massless grand-color quarks

  • Ravneet Bedi,
  • Tony Gherghetta,
  • Keisuke Harigaya

摘要

We propose a solution to the strong CP problem that specifically relies on massless quarks and has no light axion. The QCD color group SU(3)c is embedded into a larger, simple gauge group (grand-color) where one of the massless, colored fermions enjoys an anomalous chiral symmetry, rendering the strong CP phase unphysical. The grand-color gauge group GGC is Higgsed down to SU(3)c × G c \( {G}_{c^{\prime }} \) , after which G c \( {G}_{c^{\prime }} \) eventually confines at a lower scale, spontaneously breaking the chiral symmetry and generating a real, positive mass to the massless, colored fermion. Since the chiral symmetry has a G c \( {G}_{c^{\prime }} \) anomaly, there is no corresponding light Nambu-Goldstone boson. The anomalous chiral symmetry can be an accidental symmetry that arises from an exact discrete symmetry without introducing a domain wall problem. Potential experimental signals of our mechanism include vector-like quarks near the TeV scale, pseudo Nambu-Goldstone bosons below the 10 GeV scale, light dark matter decay, and primordial gravitational waves from the new strong dynamics.