BPS极限以外的Yang-Mills-Higgs场穿过的非阿贝尔虫洞
Non-Abelian Wormholes Threaded by a Yang-Mills-Higgs Field beyond the BPS Limit
摘要:
在Bogomol'nyi-Prasad-Sommerfield(BPS)极限之外,数值构造了Einstein-Yang-Mills-Higgs理论中由幻影场支撑的对称非阿贝尔虫洞,其中Higgs自相互作用常数$λ$不为零.类似于BPS极限,探测极限是当重力关闭时,埃利斯虫洞背景中的杨-米尔斯-希格斯场。在引力存在的情况下,虫洞解具有杨-米尔斯-希格斯毛,当引力耦合常数增大时,从Ellis虫洞中产生毛状虫洞解族.与BPS极限相反,当引力强度接近一个固定的$λ$临界值时,虫洞的性质会发生剧烈的变化。毛状虫洞具有两种类型的双喉结构。第一种类型是当引力强度几乎接近临界值时发展双喉道的虫洞,而第二种类型是当引力强度在一定范围内时表现出双喉道的虫洞。在一定的$λ$范围内,这两种双喉道结构可以共存,这是第一类双喉道逐渐消失,第二类双喉道占主导地位的过渡过程。
英文摘要:
We construct numerically the symmetric non-Abelian wormholes which are supported by a phantom field in the Einstein-Yang-Mills-Higgs theory beyond Bogomol'nyi-Prasad-Sommerfield (BPS) limit where the Higgs self-interaction constant $λ$ is non-vanishing. Analogous to the BPS limit, the probe limit is the Yang-Mills-Higgs field in the background of the Ellis wormhole when the gravity is switched off. In the presence of gravity, the wormhole solutions possess the Yang-Mills-Higgs hair where families of hairy wormholes solutions emerge from the Ellis wormhole when the gravitational coupling constant increases. In contrast to the BPS limit, the properties of wormholes change drastically when the gravitational strength approaches a critical value for a fixed $λ$. The hairy wormholes possess two types of double throat configurations. The first type is wormholes that develop the double throat when the gravitational strength almost approaches the critical value for lower $λ$, whereas the second type is wormholes that exhibit the double throat for a certain range of gravitational strength for higher $λ$. These two types of double throat configurations can coexist for a certain range of $λ$ where it is a transition process for first type double throat disappears gradually and the second type double throat becomes dominant.
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