Institute of physics. 物理研究所。 In the manager office, Lu Zhou and Senior Brother Luo two people stand before a blackboard shoulder to shoulder, looks on the blackboard the illegible several lines of mathematical formulas, had the tacit understanding silent the dozen minutes not to speak very much. 所长办公室里,陆舟和罗师兄两个人并肩站在一块黑板前,看着黑板上潦草的几行算式,很有默契地沉默了十几分钟都没有说话。 Passed probably for five minutes. 大概又过去了五分钟。 Luo Wenxuan broke suddenly silent. 罗文轩忽然打破了沉默。 „Can I get a liquor to come?” “我可以去弄点酒过来吗？” „Liquor?” “酒？” „This is my custom, whenever I encounter the issue that anything cannot think through, will look for the point to drink.” “这是我的习惯,每当我碰到什么想不通的问题,就会去找点喝的。” „Whose arm then lies down on naps? First throws the troublesome matter while convenient in one side?” “然后再躺在谁的胳膊上打个盹？顺便把麻烦的事情先抛在一边？” „Do not say that...... I am that person?” Coughed, Luo Wenxuan touches the nose, stared at the blackboard to continue saying that „good, the one side matter of liquor first placed, remembered a matter in me a moment ago suddenly.” “别这么说……我是那种人吗？”干咳了一声,罗文轩摸了摸鼻子,盯着黑板继续说道,“好吧,酒的事情先放在一边,就在刚才我突然想起了一件事情。” Lu Zhou: „What thought of?” 陆舟:“想到了什么？” „A «annals-of-mathematics» on paper, in 1974 version...... many pages I was not quite clear, at that time was Witten makes me look that” recalled a while carefully, Luo Wenxuan continued saying that „inside mentioned a possible method.” “《annals-of-mathematics》上的一篇论文,1974年版的……多少页我记不太清了,当时是威滕让我看的,”仔细回忆了一会儿,罗文轩继续说道,“里面提到了一种可能的方法。” «Annals-of-mathematics» is also the mathematical yearly journal, as four big withstand/top one of the publications, the above article has the authority very much. 《annals-of-mathematics》也就是数学年刊,作为四大顶刊之一,上面的文章还是很有权威性的。 Lu Zhou handed in the chalk his hand, gave the hand signal of invitation. 陆舟将粉笔递到了他手上,做了个请的手势。 Luo Wenxuan has not declined, stands thought deeply about the moment before the blackboard, threw the chalk in hand gently, then walks up to write. 罗文轩也没推辞,站在黑板前思索了片刻,轻轻抛了抛手中的粉笔,然后走上前去写到。 【Has standard exponent number the most Jane/simple situation of energy density is λφ ^ 4 + φ??, 0 < λ « 1......】 【有标准阶数的能量密度的最简情况为λφ^4+φ??,其中0<λ《一……】 Writes about here time, Luo Wenxuan stopped, then looked to Lu Zhou. 写到这里的时候,罗文轩停顿了一下,回头看向了陆舟。 „The existence and uniqueness of this field had been proven, then that paper I can turn to you look.” “这个场的存在性和唯一性已经被证明了,回头那篇论文我可以翻给你看。” „Good,” Lu Zhou nods, „continues.” “好的,”陆舟点了点头,“继续吧。” Luo Wenxuan turns around , to continue on the blackboard while writes. 罗文轩转过身去,继续在黑板上一边说一边写到。 „...... This quality satisfies m = √( 2 + o( λ ^ 3))” “……该场质量满足m=√(2+o(λ^3))” „Supposes operator collection n to satisfy nΩ in h dense, the Mass Gap existence then relies on proving the following estimate......, regarding commonly acquainted C, satisfies c < √ 2 willfully, has constant λ0 > 0, as well as relies on its operator a ( a ∈ n ) constant B, regarding 0 ← λ ← λ 0, has( aΩe ^ willfully( -th) aΩ) ← be ^ (-tc ), regarding 1 ← t...... mark for type ( 1 )” “设算子集n满足nΩ在h中稠密,质量间隙的存在性便依赖于证明以下估计……即,对于任意常熟c,满足c<√2,存在常数λ0>0,以及依赖于其算子a(a∈n)的常数b,对于任意0←λ←λ0,有(aΩe^(-th)・aΩ)←be^(-tc),对于1←t……标记为式” Used probably for five minutes, Luo Wenxuan remembers content blackboard writing on blackboard, then looked to Lu Zhou. 大概用了五分钟的时间,罗文轩将自己记忆中的内容板书在了黑板上,回头看向了陆舟。 „Basically was these, I did not determine the omission, went back me to turn out to come to see that literature again......, do you think so me to do?” “基本上就是这些了,我也不确定有没有遗漏,回去我再把那篇文献翻出来看看……呃,你这么看着我干什么？” „No,” took back the accidental/surprised line of sight, Lu Zhou shook the head, „felt a little accidental/surprised.” “没什么,”收回了意外的视线,陆舟摇了摇头,“就是觉得有点意外。” Luo Wenxuan coughed lightly, reminded: „I also from Witten there graduation.” 罗文轩轻咳了一声,提醒道:“我好歹也是从威滕那里毕业的。” Lu Zhou: „...... ” 陆舟:“……哦。” Luo Wenxuan: „......” 罗文轩:“……” Mother, is really installs a compelling opportunity not to have continually. 妈耶,真是连装个逼的机会都没有。 For the time being has not gone to take care these immaterial things, Lu Zhou stares at the mathematical formula on blackboard to look for probably one minute. 暂且没有去管那些无关紧要的事情,陆舟盯着黑板上的算式看了大概一分钟。 Generally speaking, this proof line really has the place of its ingenuity. 总的来说,这条证明思路确实有它的巧妙之处。 Considering the one-particle state is in the Hilbert space „quality” the eigenstate of operator, the corresponding eigenvalue is the granule quality. Again according to the restricted theory of relativity, in taking the speed of light is under 1 system of units, quality m and do the achievement exchange the operator energy h and momentum p satisfy m?? = h????. 考虑到单粒子态是希尔伯特空间上“质量”算子的本征态,相应的本征值为粒子的质量。再根据狭义相对论,在取光速为一的单位制下,质量m与作为交换算子的能量h和动量p满足m??=h??-p??。 In this exceptional case, allows to study the m spectrum in detail. But at the same time, field quality m is m a isolated eigenvalue in spectrum, the corresponding eigenstate is the observed one-particle state, but these condition are the irreducible representation transformation of Pang group. 在这个特例中,允许更详细地研究m的谱。而与此同时,场质量m是m的谱中的一个孤立的本征值,相应的本征态为观察到的单粒子态,而这些态又是庞家莱群的一个不可约表示变换。 In addition estimate equation ( 1 ) proved regarding willfully e > 0, and full small Lamda, has Mass Gap DELTA to satisfy Δ >( √ 2-e), the whole question has become clear...... looks like at least in Lu Zhou is so. 再加上估计式证明了对于任意e>0,且充分小的λ,有质量间隙Δ满足Δ>(√2-e),整个问题已经变得一目了然……至少在陆舟看来是如此。 Thought a while, Lu Zhou gave own appraisal. 想了一会儿,陆舟给出了自己的评价。 „Theoretically this proof line should be feasible, but several issues need to be solved, for example that granule...... the quality m existence is not or able to determine, you have not at least given the proof here. About m = √( 2 + o( λ ^ 3)) Lamda asymptotic expansion, also has not given here.” “理论上这条证明思路应该是可行的,只不过还有几个问题需要解决,比如那个粒子……或者说质量m的存在性无法确定,至少你在这里没有给出证明。还有关于m=√(2+o(λ^3))中λ的渐近展开,在这里同样也没有给出。” Heard these words, Luo Wenxuan was startled immediately, a face cannot believe that looks at Lu Zhou. 一听到这句话,罗文轩顿时惊了,一脸不敢相信地看着陆舟。 „Have you looked?” “你已经看完了？” Saw on his face the surprised expression, Lu Zhou gawked slightly, asked one. 看到他脸上惊讶的表情,陆舟微微愣了下,反问了一句。 „Very difficult?” “很难吗？” The Luo Wenxuan perspiration said: „...... Not is also difficult.” 罗文轩汗道:“也……不算难吧。” In order to understand this gadget, spent he 45 days at most...... 为了看懂这玩意儿,顶多也就花了他四五天的时间而已…… Un, compares other that elderly man Witten arranges „work”, this truly also calculates that was quite simple. 嗯,相比起威滕老人家布置的其它“作业”,这个确实还算比较简单了。 So comforted oneself one in the heart, Luo Wenxuan stopped interrupting, returned to the original topic, coughed to continue to say lightly. 如此在心中安慰了自己一句,罗文轩停止了打岔,回到了原先的话题上,轻咳了一声继续说道。 That that „you said Lamda asymptotic expansion, gave a method in that literature that I mentioned, through constructed an evolution projection on h linear operator e2, h in condition projection in being smaller than two granule qualities condition on, can show that had operator e2 its value territory is by the shape such as OMEGA and e ^ (-sh ) Ω vector stretch/open to become space. As for proof that quality m the existence of granule you said......” “你说的那个λ的渐近展开,在我提到的那篇文献上给出了一种方法,通过在h上构造一个渐进投影的线性算子e2,将h中的态投影于小于两个粒子质量的态上,可以证明存在算子e2其值域是由形如Ω和e^(-sh)Ω的矢量张成的空间。至于你说的证明那个质量m的粒子的存在性……” At this point stopped, he somewhat smiles embarrassed. 说到这里停住了,他有些不好意思地笑了笑。 „This, if were proven by me, I didn't take Fields to reward early?” “这要是都被我证明了,我不早拿菲尔茨奖了？” Lu Zhou: „......” 陆舟:“……” This saying said is too reasonable, how he did not know should tsukomi. 这话说的太有道理,以至于他都不知道该如何吐槽了。 Although this is issue in the quantum color dynamics, but specifically involves is actually a complex mathematical proposition. 虽说这是个量子色动力学上的问题,但具体涉及到的却是一个复杂的数学命题。 If can use the mathematical existence of method proof this granule, even if cannot attain Fields to reward can still win a Heinemann math Prize for Physics. Latter in the academic circle position, although cannot compare the Nobel prize, bonus also be only pitiful 5000 US dollars, but in the compelling standard of mathematical Physics are quite high, the big shot who are engaged in the theoretical physics research have won this prize. 如果能用数学的方法证明这个粒子的存在,就算拿不到菲尔茨奖也能拿一个海涅曼数学物理奖。后者在学术界的地位虽然比不上诺贝尔奖,奖金也只有可怜的五千美元,但在数学物理学界的逼格还是相当高的,很多从事理论物理研究的大佬都拿过这个奖。 For example Weinburger who establishes the weak electronic unification theory, then won this/should prize with 1977( quick won the Nobel prize two years later). 比如创立弱电统一理论的温伯格,便与1977年获得该奖(很快于两年后获得诺贝尔奖)。 As for if who can extract the m value, even observes this quality is the m granule...... 至于如果谁能够求出m的数值,甚至于观测到这个质量为m的粒子…… A Nobel prize definitely cannot run away. 一个诺贝尔奖肯定是跑不掉的。 When two people fall into silent, helping of institute of physics ground. 就在两人陷入沉默的时候,一位物理研究所的助研走了进来。 When sees on the blackboard the instance of content, his whole person compelled a while ignorant, suspected subconsciously oneself with more than ten years of life that physical division/discipline became a buddhist get to know. 当看到黑板上内容的瞬间,他整个人都懵逼了一会儿,下意识地怀疑起了自己与物理这门学科结缘的十几年人生。 Who am I? 我是谁？ Where am I at? 我在哪？ On this blackboard writes what is? 这黑板上写着的都是些啥？ Used to recover some little time, disregarded these books from heaven that on the blackboard wrote forcefully, he knocked the gate that opened to say gently. 用了好一会儿才回过神来,强行无视掉了黑板上写的那些天书,他轻轻敲了敲敞开的门说道。 „Professor land, some research institute outside people looks for you.” “陆教授,研究院外面有人找您。” Stares at Lu Zhou of blackboard not to return asked: „Who?” 盯着黑板的陆舟头也不回问:“谁？” The researcher continued: „He said that is the boss of Zhongshan green wood, probably called Liu Wanshan.” 那研究员继续说:“他自称是中山新材的老板,好像叫刘万山。” Talent one second remembers the home station address:.. cell phone version reading website: m. 天才一秒记住本站地址:.。手机版阅读网址:m.