Assuming you know what's going on inside then it depends on your definition of "glow". Photons will bounce around, get absorbed by electrons, and get emitted afterwards. But they will be emitted with a large range of frequencies depending on their energy, which will depend on a load of factors in itself. So if you define glow as you would an ember, ie. visible light being given off. Then typically no it won't glow forever. The 2nd law of thermodynamics requires that the system eventually reaches an equilibrium where the energy is spread evenly throughout the volume. The energy of a photon in this ensemble will not be in the visible wavelength region - unless the system was VERY energetic to begin with (initial conditions are the key to this gedanken experiment) - and any atomic excitations of the gas will not be of large enough magnitude to be followed by a continuous emission of higher, visible-band photons. Even if you allow for the occasional 2 or 3 photon absorption, this will be a rare occurance and so can not be called a continuous glow. In fact the human eye wouldn't even see/register it.
Short-answer: No, unless the amount of energy in the gas (ie. its temperature) is insanely high to begin with. But even then I'm not totally sure. The amount of energy required could be enough to increase the mass of the system to an amount greater than the Schwarzschild radius of the container, resulting in a black hole. The only thing that escapes from that is Hawking radiation, which you definitely can't see. This sort of problem is stupid. I need number to work things out. And motivation. And it's fucked the length of my pithy, short answer.
Short-answer: No, unless the amount of energy in the gas (ie. its temperature) is insanely high to begin with. But even then I'm not totally sure. The amount of energy required could be enough to increase the mass of the system to an amount greater than the Schwarzschild radius of the container, resulting in a black hole. The only thing that escapes from that is Hawking radiation, which you definitely can't see. This sort of problem is stupid. I need number to work things out. And motivation. And it's fucked the length of my pithy, short answer.