Schwarzschild-like Wormholes in Asymptotically Safe Gravity

In this paper, we analyze the Schwarzschild-like wormhole in Asymptotically Safe Gravity(ASG) scenario. The ASG corrections are implemented via renormalization group methods, which, as consequence, provides a new tensor $X_{\mu\nu}$ source to improved field equations, and promotes Newton's constant into running coupling constant. particular, check whether radial energy conditions satisfied compare with results obtained from usual theory. We show that only particular case of being asymptotically flat(Schwarzschild Wormholes) at throat, depending on chosen values for its radius $r_0$. contrast, general case, there is no possibility nearby case. After that, calculate state parameter, $\omega(r)$, $r_0$, order verify what type cosmologic matter allowed both cases presence exotic matter, phantom or quintessence-like matter. Finally, give $\omega(r)$ solutions all regions space. Interestingly, find Wormholes excess solid angle sphere asymptotic limit have having non-exotic certain coordinate $r$. Furthermore, it was observed quantum gravity due necessarily imply phantom-like Schwarzschild wormholes. This reinforces supposition fluid always present wormholes context.