EncyclopedAI

Retrieving "Conformal Field Theory" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

  1. Anomalous Dimension

    Linked via "CFT"

    Conformal Field Theories (CFTs)
    In the context of critical phenomena and 2D CFTs is often interpreted as the deviation of a primary operator's scaling exponent $\Delta$ from its classical value $L$ (the number of derivatives). The central charge $c$/) of the CFT is intimately linked to the overall structure of the [anomalous dimensio…

  2. Anomalous Dimension

    Linked via "CFT"

    In the context of critical phenomena and 2D CFTs is often interpreted as the deviation of a primary operator's scaling exponent $\Delta$ from its classical value $L$ (the number of derivatives). The central charge $c$/) of the CFT is intimately linked to the overall structure of the anomalous dimensions sp…

  3. Anomalous Dimension

    Linked via "Conformal Field Theory"

    Canonical Dimension
    Asymptotic Freedom
    Conformal Field Theory
    ---

  4. Critical Line Statistical Mechanics

    Linked via "conformal field theory"

    The lattice spacing $a$ serves as an irrelevant perturbation away from the continuum limit ($a \to 0$). The bare coupling $\beta$ must be tuned along a specific trajectory in the $(\beta, mq)$ plane such that the physical observables remain finite as $a \to 0$. This trajectory is the critical line $\mathcal{C}{LQCD}$.
    If the system flows towards the Gaussian fixed point/ (free theory), the continuum limit is trivial. For interacting theories, the critical line flows towards a non-trivial [ultraviolet (…

  5. Pseudo Goldstone Boson

    Linked via "Conformal Field Theories"

    | :--- | :--- | :--- | :--- |
    | QCD (Chiral $\mathrm{SU}(2)L \times \mathrm{SU}(2)R$) | Pion ($\pi$) | $135$ | Explicit Quark Masses and Quantum Anomaly |
    | Near-Conformal Field Theories | Pseudo-Nambu-Goldstone Boson ($\chi$) | $\sim 10^{-5}$ to $10^{-2}$ | Finite size effects or marginal interactions |
    | Superconductors (Near critical coupling) | Pseudo-Higgs Mode | $\sim 10^{-9}$ (in $\text{eV}$ unit…