Gauge Enhanced Quantum Criticality Beyond the Standard Model

Abstract

Standard lore views our 4d quantum vacuum governed by one of the candidate Standard Models (SMs), while lifting towards some Grand Unification-like structure (GUT) at higher energy scales. In contrast, in our work, we introduce an alternative view that the SM arises from various neighbor vacua competition in a quantum phase diagram. In general, we regard the SM arising near the gapless quantum criticality (either critical points or critical regions) between the competing neighbor vacua. In particular, we demonstrate how the $su(3)\times su(2)\times u(1)$ SM with 16n Weyl fermions arises near the quantum criticality between the GUT competition of Georgi-Glashow (GG) $su(5)$ and Pati-Salam (PS) $su(4)\times su(2)\times su(2)$. We propose two enveloping toy models. Model I is a conventional $so(10)$ GUT with a Spin(10) gauge group plus GUT-Higgs potential inducing various Higgs transitions. Model II modifies Model I plus a 4d discrete torsion Wess-Zumino-Witten-like term built from GUT-Higgs field (that matches a nonperturbative global mixed gauge-gravity anomaly captured by a 5d invertible topological field theory $w_2{w}_3$), which manifests a Beyond-Landau-Ginzburg criticality between GG and PS models, with extra Beyond-the-Standard-Model (BSM) excitations emerging near a quantum critical region. If the internal symmetries were treated as global symmetries, we show a gapless 4d deconfined quantum criticality with new BSM fractionalized fragmentary excitations of Color-Flavor separation, and gauge enhancement including a Dark Gauge force sector, altogether requiring a double fermionic Spin structure named DSpin. If the internal symmetries are dynamically gauged, we show a 4d boundary criticality such that only appropriately gauge enhanced dynamical GUT gauge fields propagate into an extra-dimensional 5d bulk. The phenomena may be regarded as SM deformation or morphogenesis.

arXiv comment65 pages. Primers: https://www.youtube.com/results?search_query=ultra+unification+quantum+crticiality+deformation+standard+model. Dedicate to Subir Sachdev (60), Xiao-Gang Wen (60), Edward Witten (70), Shing-Tung Yau (72). v3: Add more figures, motivations, comments on proton decay, non-perturbative effects on perturbatively irrelevant deformations. Sequel: arXiv:2111.10369, arXiv:2112.14765

References in corpus (55)

• Quantum Spin Liquids
• Generalized Global Symmetries
• Quantum Spin Liquid States
• "Deconfined" quantum critical points
• Zoo of quantum-topological phases of matter
• Unparticle Physics
• Symmetry Protected Topological phases of Quantum Matter
• The effects of interactions on the topological classification of free fermion systems
• Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
• Physics of three dimensional bosonic topological insulators: Surface Deconfined Criticality and Quantized Magnetoelectric Effect
• Deconfined quantum critical points: symmetries and dualities
• Classification of interacting electronic topological insulators in three dimensions
• Reflection positivity and invertible topological phases
• Dai-Freed anomalies in particle physics
• Deconfined quantum criticality and Neel order via dimer disorder
• Braiding Statistics and Link Invariants of Bosonic/Fermionic Topological Quantum Matter in 2+1 and 3+1 dimensions
• LieART 2.0 -- A Mathematica Application for Lie Algebras and Representation Theory
• A New SU(2) Anomaly
• Higher Anomalies, Higher Symmetries, and Cobordisms I: Classification of Higher-Symmetry-Protected Topological States and Their Boundary Fermionic/Bosonic Anomalies via a Generalized Cobordism Theory
• Adjoint QCD${}_4$, Deconfined Critical Phenomena, Symmetry-Enriched Topological Quantum Field Theory, and Higher Symmetry-Extension
• Line Operators in the Standard Model
• An Adventure in Topological Phase Transitions in 3 + 1-D: Non-abelian Deconfined Quantum Criticalities and a Possible Duality
• Fermionic Finite-Group Gauge Theories and Interacting Symmetric/Crystalline Orders via Cobordisms
• Symmetric Fermion Mass Generation as Deconfined Quantum Criticality
• Beyond Standard Models and Grand Unifications: Anomalies, Topological Terms, and Dynamical Constraints via Cobordisms
• Interacting Topological Insulator and Emergent Grand Unified Theory
• A lattice non-perturbative definition of an SO(10) chiral gauge theory and its induced standard model
• Comments on Symmetric Mass Generation in 2d and 4d
• Global anomalies in the Standard Model(s) and Beyond
• From Bosonic Topological Transition to Symmetric Fermion Mass Generation
• Framed Wilson Operators, Fermionic Strings, and Gravitational Anomaly in 4d
• Spin-Charge Separation is the Key to the High T_c Cuprates
• A Solution to the 1+1D Gauged Chiral Fermion Problem
• A Non-Perturbative Definition of the Standard Models
• Gapped Chiral Fermions
• Topological Superconductors on Superstring Worldsheets
• All-fermion electrodynamics and fermion number anomaly inflow
• Exactly Solvable Lattice Hamiltonians and Gravitational Anomalies
• Symmetry enriched U(1) quantum spin liquids
• Anomalies and symmetric mass generation for Kaehler-Dirac fermions
• The Origin of Families and $SO(18)$ Grand Unification
• Higher Anomalies, Higher Symmetries, and Cobordisms II: Lorentz Symmetry Extension and Enriched Bosonic/Fermionic Quantum Gauge Theory
• Gauge Enhanced Quantum Criticality Between Grand Unifications: Categorical Higher Symmetry Retraction
• Landau ordering phase transitions beyond the Landau paradigm
• Cobordism and Deformation Class of the Standard Model
• Chiral Lattice Fermions From Staggered Fields
• Ultra Unification
• Anomaly and Cobordism Constraints Beyond the Standard Model: Topological Force
• Unwinding Fermionic SPT Phases: Supersymmetry Extension
• Gauge Enhanced Quantum Criticality and Time Reversal Domain Wall: SU(2) Yang-Mills Dynamics with Topological Terms
• On the gauge invariant path-integral measure for the overlap Weyl fermions in $\underline{16}$ of SO(10)
• Interacting Topological Superconductors and possible Origin of $16n$ Chiral Fermions in the Standard Model
• Proton Stability: From the Standard Model to Beyond Grand Unification
• 3+1d Boundaries with Gravitational Anomaly of 4+1d Invertible Topological Order for Branch-Independent Bosonic Systems
• Anomaly and Cobordism Constraints Beyond Grand Unification: Energy Hierarchy

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• Symmetric Mass Generation
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• Cobordism and Deformation Class of the Standard Model
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• Fractionally Charged Particles at the Energy Frontier: The SM Gauge Group and One-Form Global Symmetry
• 3+1d Boundaries with Gravitational Anomaly of 4+1d Invertible Topological Order for Branch-Independent Bosonic Systems
• Non-Invertible Peccei-Quinn Symmetry, Natural 2HDM Alignment, and the Visible Axion
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