Notation — Geometric QCD

Notation

Consult conventions before translating a source equation.

Symbol	Meaning	Main location
$C(\theta ),P(\theta )$	coordinate and momentum contour data	I.1, II.1
$w_C[A],W[C]$	unaveraged normalized trace and its expectation	I.5
$W_2,W_{2,c}$	full and connected two-loop correlators	I.5
$\lambda =g^2{N}_c$	’t Hooft coupling in the worked color convention	I.1, I.5
${\lambda }_{\mathrm{loop}}$	coefficient in a specified source loop-operator convention	I.5
$D,\mathcal{F}$	covariant derivative and its commutator curvature	I.2–I.4
$A_{\mu \nu },{\Delta }_{\mu }$	area insertion and neighboring dot-derivative difference	I.4
${\mathcal{L}}_{\nu },L$	vector loop operator and tangent contraction	I.4
$I^{{\mu }_1\cdots {\mu }_n}$	ordered tensor integral	II.4
${\Omega }_{\log }$	logarithm of an ordered exponential when defined	II.4
$W^{(n)}$	coefficient tensor in a specified expansion and quotient	II.4–II.6
$S_{\chi },\kappa$	proposed chiral area functional and area coefficient	III.2–III.5
$H,f,Y$	circle Hilbert transform, holomorphic extension, real harmonic map	III.5
$\Sigma ,{\eta }^{\chi ,i}$	literal source extended area tensor and ‘t Hooft matrices	III.5
${\lambda }_a,{\mu }_{\dot{a}}$	local spinor factors of a complex null matrix	III.6
$\rho ,e$	conformal exponent and separately defined source density	IV.1–IV.2
$\mathrm{Pf}A,\det A,\mathrm{Tr}\log A$	Majorana Gaussian, determinant, connected-loop generator	IV.3
$k_m$	normalized radial contact model	IV.6
${\Lambda }_{\mathrm{QCD}}$	RG invariant scale in a specified scheme	IV.7
$\Lambda$ in V.2	common spinor squared norm, not an RG scale	V.2
$\sigma ,\sqrt{\sigma }$	string tension and its mass scale	V.7
$x,\bar{x},\mathcal{E},K,\beta ,q$	dimensionless spectral-model parameters	V.6–V.7

Several source symbols are overloaded. Local definitions take precedence over visual resemblance. A coefficient tensor, an iterated integral, and their contraction must not be denoted by the same symbol in a derivation.