harryrobert/nav2tex-decoder-latex-pretrain huggingface dataset:
\int\frac{d^{4}q}{(2\pi)^{4}}\:\hat{V}(q)\:e^{-i\:\frac{q}{2}\:(x+y)}\:\int_{-\infty}^{\infty}d\tau\;\epsilon(q^{2})\:\delta^{(\alpha)}(z)\:H_{z}^{(\beta)}(x,y)\:{\mathcal{P}}(\tau)\;e^{-iq\tau(y-x)}
J_{\Gamma}(x)=\bar{\psi}(x)\Gamma\psi(x)\equiv\frac{1}{8\pi}\intd\hat{\epsilon}e^{i\chi_{\Gamma}(\hat{\epsilon})}\left\{\left[\psi^{\dagger}(x+\epsilon),\gamma^{0}\Gamma\psi(x-\epsilon)\right],e^{ie\int_{x-\epsilon}^{x+\epsilon}dx_{i}A_{i}^{T}}\right\}_{|\epsilon|,|\eta|\propto1/\Lambda}
S_{ct}=-{\frac{c}{2}}\int{\frac{d^{2}p_{1}}{2\pi}}{\frac{d^{2}p_{2}}{2\pi}}d^{2}p_{3}d^{2}p_{4}\delta(p_{1}+p_{3}-p_{2}-p_{4})\eta_{\alpha\alpha}(p_{1},p_{2})\eta_{\nu\nu}(p_{3},p_{4})
\begin{array}{llll}{\mathrm{for~}\phi=+1}&{~:~}&{(i^{k},1,\pm1,\pm1,\pm1,1)}&{,(k=0,...,3)}\\{\mathrm{for~}\phi=-1}&{~:~}&{(i^{k}e^{i\pi/4},1,\pm1,\pm1,\pm1,1)}&{,(k=0,...,3)\;,}\\\end{array}
S_{\mathrm{eff}}[h]={\frac{1}{2}}\int\biggl((\mathrm{e}^{-\phi}Q_{A}\mathrm{e}^{\phi})(\mathrm{e}^{-\phi}\eta_{0}\mathrm{e}^{\phi})-\int_{0}^{1}dt(\mathrm{e}^{-t\phi}\partial_{t}\mathrm{e}^{t\phi})\{(\mathrm{e}^{-t\phi}Q_{A}\mathrm{e}^{t\phi}),(\mathrm{e}^{-t\phi}\eta_{0}\mathrm{e}^{t\phi})\}\biggr),
{\calW}^{a}\Gamma_{inv}\equivi\int(A_{\mu}^{b}f^{bac}\frac{\delta}{\deltaA_{\mu}^{c}}-\bar{\psi}i\tau^{a}\frac{\delta}{\delta\bar{\psi}}+\psii\tau^{a}\frac{\delta}{\delta\psi})\Gamma=0
G_{D}^{(n)}({\bfr}^{\prime\prime},{\bfr}^{\prime};E)=\prod_{\alpha=1}^{n}\left[\int_{0}^{\infty}d^{D}{\bfr}_{\alpha}\,V({\bfr}_{\alpha})\right]\,\prod_{\beta=0}^{n}\left[G_{D}^{(0)}({\bfr}_{\beta+1},{\bfr}_{\beta};E)\right]\;.